BHARATHIDASAN UNIVERSITY - 620024 Tamilnadu India

DEPARTMENT OF NONLINEAR DYNAMICS

PROFILE Preface

The Centre for Nonlinear Dynamics was created in recognition of the excellent contributions made to the field of nonlinear dynamics at the international level and in recognition of the S. S. Bhatnagar prize (nation's highest science prize) in Physical Sciences awarded to Prof. M. Lakshmanan (at present Professor of Eminence in the Centre for Nonlinear Dynamics, School of Physics) in 1990 to promote research in this area. In the subsequent years, it was liberally supported by the Department of Science and Technology (DST) and the Department of Atomic Energy (DAE), Government of India towards the development of infrastructure, manpower, library and computational facilities. Today, the Centre is recognized as one of the top-ranking Centres of excellence in Nonlinear Dynamics at the National and International levels. The Centre has three regular faculty members (1 Professor, One Associate Professor and 1 Assistant Professor) besides Dr. M. Lakshmanan as Professor of Eminence and two more faculty members (1 Professor and 1 Assistant Professor) from the Department of Physics forming the Nonlinear Dynamics group. About 33 research scholars have obtained their Ph.D degree in Nonlinear Dynamics so far and at present 22 students are pursuing their research towards Ph.D degree. More than 25 post-doctoral fellows have worked at the Centre and at present 6 post-doctoral fellow are working. In addition, the Centre receives a regular stream of visiting scholars and scientists from within India and abroad for collaborative research and for discussion.

The Centre has a very strong expertise in the theoretical, experimental and application aspects of integrable systems, solitons, optical solitons, solitons in ordered magnetic systems magnetization switching dynamics solitons in protein and liquid crystals, solitons in DNA molecules, chaos, quantum chaos, chaos synchronization, time delayed dynamical systems, Bose-Einstein condensation, spatio-temporal patterns, and nonlinear electronic circuits and systems. During a span of 25 years or so the Centre has published more than 500 research articles, in internationally reputed scientific journals with high impact factor, and ten books. It has organized several national and international conferences, workshops and schools and other meetings in different areas of Nonlinear Dynamics and Physics. The faculty and students of the Centre have received invitations to visit and collaborate with reputed groups in many international institutions, both inside and outside the country. Several prestigious awards and recognitions at the national and international levels have also been received by members of the faculty including S. S. Bhatnagar Prize, Tamilnadu Scientist Award, Goyal Prize, R. D. Birla Award, Fellowships of Science Academies, Membership of Editorial Boards of prestigious journals, Post-Doctoral research Fellowships abroad, Associateship by reputed institutes in abroad, Guest and Visiting Scientist positions, etc. The Centre has been identified as one of nodal points for Theoretical Physics Seminar Circuit (TPSC) programme by DST. It has also developed a close association with the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy.

Several research funding agencies such as DAE, DST, UGC, CSIR, INSA, NBHM, etc. have sponsored research projects at the Centre. The Centre for Nonlinear Dynamics has been identified as a Centre for Intensification of Research in High Priority Areas around outstanding persons (IRHPA) by DST. Grants to the tune of Rs. 87.00 lakhs (1996-2002) and Rs.1.00 crore (2002-2008) has been sanctioned to carry out research at the Centre and an enhanced grant of Rs.3.5 crores has been sanctioned for the period 2008-2015 by DST. During the past 15 years, a Library grant on an average to the tune of Rs. 4.0-5.0 lakhs per annum for this Centre has been sanctioned by DAE-NBHM. The Centre has developed a high performance computing facility through support received mainly from DST.

From the academic year 2018-2019 the Centre for Nonlinear Dynamics has been reconstructed into the Department of Nonlinear Dynamics under School of Physics. National Recognitions

Prof. M. Lakshmanan receiving S.S.Bhatnagar U.G.C. Hari Om Trust - Meghnad Saha (India’s Highest Scientific Award) - 1989 Award in Theoretical Sciences - 1990

International Recognitions

Prof. M. Lakshmanan Elected Fellow of the Academy of Sciences for the Developing World (FTWAS) - 2009

Objectives

• To carry out Basic, Applied and Advanced Research in various fields 1 of Physics/Nonlinear Dynamics.

• To associate with institutions and industries in a meaningful way to 2 transfer technology.

Vision To conduct world-class Research programmes in Theoretical Physics/Nonlinear Dynamics.

Mission

To carry out Advanced Research in different areas of Physics/Nonlinear Dynamics.

Faculty Members

Prof. K. Thamilmaran Professor and Head

Dr. M. Senthilvelan

Associate Professor

Prof. M. Lakshmanan

Professor of Eminence &

DST – SERB Distinguished Fellow

Faculty Profile

Area of Research/ Specialization

1. Nonlinear Dynamics, Chaos, Synchronization of Chaos, State Controlled Cellular Neural Network (SC-CNN), Nonlinear Electrical Circuits and its Applications.

2. Transient chaos, Extreme events, Bifurcation delay in a network oscillators.

3. Fractional order systems, revival of oscillations from death in coupled nonlinear oscillators. Dr. K. THAMILMARAN Professor & Head

Achievements made in Teaching/Research/Extension No. of Research Publications : 50 No. of papers presented in Conferences : 21 h-index : 15 i-10 index : 20 Total Citations : 711 Patents Granted/Filed : -- Products Developed : -- Projects Completed/Ongoing : 2 Consultancies Completed/Ongoing : --

Research Group Members Present Members Past Members 1. Mr. P. Meghavarna Ezhilarasu 1. Dr. P. S. Swathy 2. Mr. S. Dinesh Vijay 2. Dr. R. Jothimurugan 3. Mr. J. Palanivel 3. Dr. K. Suresh 4. Mr. J. Umar Malik 5. Mr. T. Pakiaraj 4. Dr. S. Sabarathinam 5. Dr. D. Premraj 6. Mr. S. Leo Kingston

For more details visit: http://www.bdu.ac.in/schools/physics/non-linear-dynamics/docs/faculty/dr_k_thamilmaran.pdf

https://scholar.google.co.in/citations?user=anu3xtgAAAAJ&hl=en Area of Research/ Specialization

 Dynamical Systems (Classical and Quantum)  Mathematical Methods

 Quantum Entanglement Dr. M. SENTHILVELAN Associate Professor

Achievements made in Teaching/Research/Extension No. of Research Publications : 130 No. of papers presented in Conferences : 15 h-index : 24 i-10 index : 52 Total Citations : 1882 Extension : Resource Person in several Faculty Development Programmes Products Developed : -- Projects Completed/Ongoing : 06/ 03 Teaching : Teaching modules were developed in the topics Vector Calculus and Statiscal Mechanics Awards and Recognitions  Awarded Postdoctoral research fellowship for the year 2000-’03 by the University of Sydney, Sydney, Australia.  Awarded Fundacao de Amparoa Pesquisa do Estado de Sao Paulo (FAPESP, Brazil) Postdoctoral research fellowship for the year 1998 – ’2000.  Awarded Consiglio Nazionale delle Ricerche (National Research), Italy, Postdoctoral research fellowship for the year 1997 – ’98.  Awarded Senior Research Fellowship by Council of Scientific and Industrial Research, Government of India for the year 1992 – ’95.  Qualified in Graduate Aptitude Test in Engineering (GATE) in the year 1989 with an overall percentile score of 84.73 conducted by Ministry of Human Resources, Government of India.

Research Group Members Present Members Past Members 5. Dr. K. Manikandan 1. S. Sudharsan 1. Dr. V. Chithika Ruby 6. Dr. K. Premalatha 2. S. Thamizharasan 2. Dr. N. Vishnu Priya 7. 3. Nissi Thomas 3. Dr. R. Mohanasubha Ms. S. Karthiga 8. Mr. S. Stalin 4. N. Sinthuja 4. Dr. N. Ananth

For more details visit: http://www.bdu.ac.in/schools/physics/non-linear-dynamics/docs/faculty/dr_m_senthil_velan.pdf https://scholar.google.co.in/citations?user=LuWsn-8AAAAJ&hl=en&oi=ao

Area of Research/ Specialization

 Theoretical/ Mathematical Physics with special reference to Nonlinear Dynamics

 Solitons Prof. M. LAKSHMANAN

Professor of Eminence &  Chaos DST-SERB Distinguished Fellow

Achievements made in Teaching/Research/Extension No. of Research Publications : 340 No. of papers presented in Conferences : 26 h-index : 58 i-10 index : 228 Total Citations : 12763 Patents Granted/Filed : -- Products Developed : -- Projects Completed/Ongoing : 19/ 04 Consultancies Completed/Ongoing : -- Awards and Recognitions

 University Grants Commission Career Award for Young Scientists (1980).  Raman Research Prize-Gold Medal, (1980).  Best University Teacher Award (1984), Govt. of .  S.S. Bhatnagar Prize in Physical Sciences (1989) (India's highest scientific prize).  Member, National Board for Higher Mathematics (1989-92).  Fellow of the Indian National Science Academy (1992).  Fellow of the Indian Academy of Sciences (1991).  Fellow of the National Academy of Sciences, India (1989).  Prof. G. Sankaranarayanan Endowment Lecturer, (1991).  Tamilnadu Scientists Award (TANSA) – 1993/94.  U.G.C. Hari Om Trust - Meghnad Saha Award in Theoretical Sciences (1990).  Hari Om Ashram Prerit Shri Hari Vallabhdas Chunilal Shah Research Endowment Prize – 1996  Dr. Biren Roy Memorial Lecture Award of INSA – 1998.  Foreign Member, Royal Academy of Sciences, Uppsala, Sweden (1999).  Professor M.M. Thomas Endowment Lectureship Award, Bishop Moore College, Mavelikara (2001)  Awarded ICTP Senior Associate Fellowship, Trieste, Italy (2002-2008).  76th Indian Science Congress Madurai Kamaraj University Distinguished Scientist Award (2004).  Dr. V. Shanmuga Sundaram Endowment Lectureship Award, Annamalai University (2005).  Professor Vishnu Vasudeva Narlikar Memorial Lecture Award of INSA - 2006 (Given in 2008).  Goyal Prize in Physics 2005 (given in 2008).  A.C. Banerjee Memorial Lecture Award of National Academy of Sciences -2007.  Conferred Doctor of Science (Honoris Causa) by University of Burdwan for outstanding contribution to Nonlinear Dynamics (2009).  Elected Fellow of the Academy of Sciences for the Developing World (FTWAS) - 2009.  NASI – Platinum Jubilee Senior Scientist (2016).  R. D. Birla Award for Excellence in Physics – 2014 by Indian Physics Association.  Selected DST – SERB Distinguished Fellow (2017).

Research Group Members Present Members Past Members 1. Dr. A. Govindarajan 2. Dr. R. Arun 3. Dr. V. Chithika Ruby 4. S. Stalin Please see Faculty Profile given below 5. R. Ramakrishnan 6. M. Sathish Aravind

For more details visit: http://www.bdu.ac.in/schools/physics/non-linear-dynamics/docs/faculty/dr_m_lakshmanan.pdf https://en.wikipedia.org/wiki/Muthusamy_Lakshmanan https://scholar.google.co.in/citations?user=OP7lpFkAAAAJ&hl=en&oi=ao

Retired Faculty

Area of Research/ Specialization  Nonlinear Dynamics of Ordered Magnetic Systems, Liquid Crystals, Bio-molecularSystems and Nonlinear Electronic Circuits.  Magnetization Switching Dynamics in Nanostructured Magnetic Materials.  Soliton and Chaos in Nonlinear Dynamical Systems. Prof. M. Daniel

Achievements made in Teaching/Research/Extension No. of Research Publications : 90 No. of papers presented in Conferences : 22 h-index : 22 i-10 index : 36 Total Citations : 1325 Patents Granted/Filed : -- Products Developed : -- Projects Completed/Ongoing : -- Consultancies Completed/Ongoing : -- Awards and Recognitions  Post-doctoral visitor at Princeton University, New Jersey and Rutgers University, New Brunswick, USA for two months in 1991.  Visiting scientist at the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy in 1983, 1991, 1992, 1994, 1995, 2001, 2002, 2003, 2005 and 2009.  Visiting Fellow at the University of New South Wales, Kensington, Australia during October-December 1993.  Guest Scientist at the Neutron Scattering Centre, Hahn-Meitner Institute, Berlin, Germany during July 10-24, 1994.  Visiting Scientist at the Hahn-Meitner Institute, Berlin, Germany during 1996-97 under the bilateral exchange programme of INSA and DFG (Germany)  Biographical data included in the 14th and 18th Editions (1994 and 1998) of Marquis "Who's Who in the World” published in U.S.A.  Listed among the 200 researchers worldwide in the “Who’s Who of Physics of Life” by Elsevier Science Publishing, The Netherlands, in appreciation of my work on protein molecules with interspine coupling.

Research Group Members Present Members Past Members 1. K. Prabakaran 1. Dr. R. Amutha 8. Dr. P. Sabareesan 2. Dr. M. M. Latha 9. Dr. M. Vanitha 3. Dr. V. Veerakumar 10. Dr. A. Arulgnanam 4. Dr. L.Kavitha 11. Dr. R. Arun 5. Dr. K. Gnanasekaran 12. Dr. D. Aravindhan 6. Dr. Vasumathi 13. D. Giridharan 7. Dr. J. Beula Funding Agency

Department of Science Centre for Scientific University Grants Department of Atomic and Technology and Industrial Research Commission Energy Government of India Government of India Government of India Government of India

Innovation in Science National Board for Indian National Science Science & Engineering Pursuit for Inspired Higher Mathematics Academy Research Board Research Government of India Government of India Government of India Government of India

Funds Received

2% 5%4% 6%

7% 49% 8%

19%

Publications in International Journals

Citations in Each Year

(Web of Science)

Sum of the Times Cited: 7212 h-index: 43

Articles published in

Conferences/ Workshops/ Seminars organized

S. No. Conferences/Workshops/Seminars Period NMI workshop on “Nonlinear Intergable Systems and their February 24- March 1. Applications” 01, 2014 Sixth National Conference on Nonlinear Systems and 2. January 27-30 2011 Dynamics (NCNSD-2011) 3. DST-SERC School on “Nonlinear Dynamics” January 04 - 26 2011 National Workshop And Conference On September 22-25, 4. Computational Methods For Nonlinear Dynamics 2010 5. Seminar on “Frontier Topics in Fundamental Physics” March 30-31, 2009 6. Frontier Topics in Theoretical Physics March 29-30, 2009 7. National Seminar on Nonlinear Electronics and Pintronics March 20- 21, 2009 February 13 – 16, 8. International Conference on “Nonlinear Dynamics” 2008 9. Workshop on “High Performance Computing” August 6 – 9, 2007 Seminar on Bifurcation, Chaos, Synchronization and 10. December 6 – 7, 2005 Applications November 21-22, 11. Seminar on “Recent Developments in Physics” 2005 12. 71st Annual Meeting of Indian Academy of Sciences November11-13, 2005 International Conference on "Nonlinear Dynamics: 13. February 12-16, 1998 Integrability and Chaos" 14. Workshop on "Recent Developments in Chaotic Dynamics" December 9-13, 1996 Winter School on "Integrable Systems and Low Dececember18-23, 15. Dimensional Many-Body Problems" 1995 December 20, 1992 - 16. Winter School on 'Analysis, Manifolds and Physics' January 9, 1993.

Programmes offered

Ph. D. Physics

Eligibility: M.Sc. / M.Phil. Physics

Selection Procedure:

Selection will be made on the basis of merit list prepared by Bharathidasan University through Ph.D. entrance exam.

Details of Fellowships being availed by the Research Scholars/Project Staff

S. No. Name Reg. No. Fellowship

1. Chithiika Ruby V PH6829 CSIR

2. Subash B PH6575 DST-Phase II

3. Vishnu Priya N PH43638 UGC

4. Gopal R PH10885 DST Phase-III

5. Aravinthan D PH34151 DST-INSPIRE

6. Giridharan D PH34160 DST-INSPIRE

7. Manikandan K PH34149 UGC

8. Mohanasubha R PH18333 UGC

9. Stalin S PH36011 DAE

10. Sabarathinam S PH45626 UGC-RFSMS

11. Premalatha K PH413006 DAE

12. Karthiga S PH7928 DST

13. Leo Kingston S PH38454 UGC-RFSMS

14. Premraj D PH45645 UGC-RFSMS

15. Megavarna Ezhilarasu P PH17387 DST-SERB

16. Ramakrishnan R PH40000 DAE

17. Sudharsan S PH39998 DST-INSPIRE

18. Thamizharasan S PH39999 DST-SERB

19. Dineshvijay PH06107 URF

20. Sinthuja N PH08519B URF

Students’ Achievements

S. No. Reg. No. Name Exam(s) Qualified 1. PH6829 Chithiika Ruby V CSIR - SRF 2 PH7928 Karthiga S NCB-GATE for MHRD 3. PH34160 Giridharan D SET- Govt. of Tamilnadu 4. PH7928 Karthiga S SET- Govt. of Tamilnadu 5. PH39998 Sudharsan S SET- Govt. of Tamilnadu

Awards Received by students/scholars

Year Name of the National Awards Awarded Students Name of the Award Awarding Institution 2017-18 S. Leo kingston & 5th International Conference on American Chemical D. Premraj “Complex Dynamical Systems Society, North West and Applicatons , 2017 with Washington, USA cash Award Rs. 5000/- held at Indian Institute of Technology, Guwahati 2017-18 Sudharsan S DST -INSPIRE DST 2017-18 Manikandan K National Post – doctoral DST-SERB Fellowship 2017-18 Mohanasubha R Kothari Fellowship UGC 2016-17 Sabarathinam S National Post – doctoral DST-SERB Fellowship 2016-17 Vishnupriya N Kothari Fellowship UGC 2016-17 Subash B National Post – doctoral DST-SERB Fellowship 2013-14 Giridharan D DST -INSPIRE DST 2013-14 Karthiga S DST -INSPIRE DST 2013-14 Aravinthan D DST -INSPIRE DST 2010-2014 Chandrasekar V K Associate in the Indian IAS Academy Science 2010 –2013 Senthilkumar D V Research Scientist, Potsdam Potsdam Institute, Institute for Climate Impact Germany Research, Potsdam, Germany

Collaborators Abroad

Belgium Finland 2% Italy 2% Brazil Srilanka 2% Netherland 2% 2% 3%

Greece UK 3% 15% Germany 3% Canada 3% Spain 10% China 3% Sweden 5% USA 8% France 5% Poland Japan 5% 8% Kazhakastan Australia 8% 8%

Country Wise Distribution Country List of Colloborators

M.D. Kruskal, E.C.G. Sudarshan, L.O. Chua, J.R. USA Klavder, Avadh Saxena

R.K. Bullough, P. Caudrey, W. Zakrzewski, A.

Parker, A.N.W. Hone, J. Nimmo, D.E. Parker, U.K Michael Berry,

C.R. Gilson

Jose F Carinena, Manuel F Ranada, P.R. Gordoa, A. Spain Pickering, M.L. Gandarias, M.S. Bruzon

H. Hasegawa, T. Kato, K. Nakamura, M. Wadati, Japan Yoshinori Okazaki

R. Quispel, C.J. Thompson, K.A. Ross, K.P. Dabke, Australia Nail Akhmediev

R. Myrzakulov, R.N. Syzdykova, A.K. Danlybaeva, Kazhakastan K.R. Yesmakhanova, G.N. Nugmanova

Poland T. Kapitaniak, Z. Popowicz, M. Jaworski

France B. Grammaticos, Alfred Ramani, R. Conte

Sweden P.O. Froman, N. Froman, F. Karlsson

China Li Yi Shen, Xiaoyan Tang

Germany Ulrike Feudel, J. Kurths

Canada Alexei F. Cheviakov, G. Bluman

Greece T. Bountis, L.B. Drossos

Netherland Th.W. Ruijgrok, L.F.J. Broer

R.A. Kraenkel (Brazil), M. Torrisi (Italy), Other J. Hietarinta (Finland), P. Gaspard (Belgium), Countries A.G. Johnpillai (Srilanka)

Ph. D. Awardees

Year of Name of the Name Present Position passing Supervisor/Convenor 1981 Kaliappan P Prof. M. Lakshmanan Deceased CEO, DRSNS Rajalakshmi college of Arts & Science 1983 Daniel M Prof. M. Lakshmanan QAP, Director, SNS Group of Instituitions Professor of Mathemaics, 1986 Tamizhmani K.M Prof. M. Lakshmanan Pondicherry University (Deceased) UGC Emeritus Professor, Ramanujan Institute of Advanced Study in 1987 Sahadevan R Prof. M. Lakshmanan Mathematics University of Madras, Chennai Professor, Govt. College of 1988 Ganesan S Prof. M. Lakshmanan Technology, Coimbatore. Professor of Physics, Pondicherry 1991 Porsezian K Prof. M. Lakshmanan University (Deceased) Professor, Department of Physics, 1992 Rajasekar S Prof. M. Lakshmanan Bharathidasan University, Tiruchirappalli Director, Senior Professor, School of 1993 Ganesan K Prof. M. Lakshmanan IT & Engg. Vellore Institute of Technology, Vellore Head, Department of Bio- 1993 Parthasarathy S Prof. M. Lakshmanan Informatics, Bharathidasan University, Tiruchirapalli Professor, Department of Physics, 1995 Murali K Prof. M. Lakshmanan , Chennai Associate Professor, Department of Senthilvelan M Prof. M. Lakshmanan Nonlinear Dynamics, Bharathidasan University, Tiruchirapalli 1996 Associate Professor and Head, Radha R Prof. M. Lakshmanan Government College for Women, Associate Professor, Department of 1997 Amuda R Prof. M. Daniel Physics P.S.G. College of Technology, Coimbatore Associate Professor, Department of 1998 Radhakrishnan R Prof. M. Lakshmanan Physics, , Tricuhirapalli 2000 Muruganandam P Prof. M. Lakshmanan Associate Professor, Department of Physics, Bharathidasan University, Tiruchirapalli Associate Professor, Department of Venkatesan A Prof. M. Lakshmanan Physics, Nehru Memorial College, Head, Department of Physics, H.H. Athavan N Prof. M. Lakshmanan The Rajah's College, 2002 Head, Department of Physics, Latha M.M Prof. M. Daniel Women's Christian College, Nagerooil Associate Professor, Department of Kanna T Prof. M. Lakshmanan Physics, , 2003 Tiruchirapalli Professor and Head, Department of

Kavitha L Prof. M. Daniel Physics, Central University of Tiruvarur, Tiruvarur Associate Professor, Department of Vijayalakshmi S Prof. M. Lakshmanan Physics, Presidency College, Chennai 2004 Senior Research Associate, Seagate Veerakumar V Prof. M. Daniel Technologies, USA

Associate Professor, Department of 2005 Thamilmaran K Prof. M. Lakshmanan Nonlinear Dynamics, Bharathidasan University, Tiruchirapall Associate Professor, Department of 2006 Palaniyandi P Prof. M. Lakshmanan Physics, Nehru Memorial College, Puthanampatti Associate Professor, Department of Bindu P.S Prof. M. Lakshmanan Physics, Lady Doak College, Madurai Professor of Physics, Vinayaka 2007 Senthilkumar C Prof. M. Lakshmanan Mission’s, Kirupananda Variar, Engineering College, Salem Assistant Professor, Department of Senthilkumar D.V Prof. M. Lakshmanan Physics, IISER, Trivandrum Retired from Professor from Nehru 2008 Gnanasekaran G Prof. M. Daniel Memorical College, Puthanampatti Assistant Professor, Department of Vasumathi V Prof. M. Daniel Physics, Holy Cross College, Trichy Senior Assistant Professor, Sastra 2009 Chandrasekar V.K Prof. M. Lakshmanan University, Retired from Women's Christian 2010 Beula, J Prof. M. Daniel College, Nagerocoil Assistant Professor, Department of Rajendran S Prof. M. Lakshmanan Physics, T.B.M.L. College, Porayar Gladwin Pradeep R Prof. M. Lakshmanan Assistant Professor, KCG College of 2011 Associate Professor, Sastra Sabareesan B Prof. M. Daniel University, Thanjavur DST Young Scientist Fellow, B.S. Vijajayanthi M Prof. M. Lakshmanan Abdur Rahman University, Chennai Assistant Professor, Sastra Suresh R Prof. M. Lakshmanan University, Thanjavur Research Staff, Nanyang 2014 Vanitha M Prof. M. Daniel Technological University, Singapore

Research Associate, Department of Chithika Ruby V Dr. M. Senthilvelan Nonlinear Dynamics, Bharathidasan University, Tiruchirapalli Assistant Professor, SNS college of Swathy P.S. Prof. K. Thamilmaran Technology, Coimbatore 2015 Assistant Professor, P.SNA College R. Jothimurugan Prof. K. Thamilmaran of Engineering Technology, Dindugul Assistant Professor, Department of Durgadevi R Prof. M. Lakshmanan Physics, Sastra University, Thanjavur

Kothari Fellow, Indian Institute of Vishnupriya N. Dr. M. Senthilvelan Science, Bangalore Assistant Professor, Department of Ananth N Dr. M. Senthilvelan Physics, Bishop Heber College, Tiruchirapalli King Abdullah University of Science Subash B Prof. M. Lakshmanan & Technology, Saud Arabia 2016 National Post doctoral Fellow, Suresh K Prof. K. Thamilmaran Jawaharl Nehru University, New Delhi Associate Professor, St. John’s Arulgnanam A Prof. K. Thamilmaran College, Palayankottai, Tirunelveli

Kothari Fellow, Anna University, Mohanasubha R Dr. M. Senthilvelan Chennai National Post doctoral Fellow, Sabarathinam S Prof. K. Thamilmaran Jawaharl Nehru University, New Delhi Research Associate, Department of Arun R Prof. M. Daniel Nonlinear Dynamics, Bharathidasan University, Tiruchirapal Assistant Professor, Department of Aravinthan D Prof. M. Daniel Physics, Central University of Tiruvarur, Tiruvarur 2017 National Post Doctoral Fellow, Manikandan K Dr. M. Senthilvelan National Institute of Technology, Trichy Associate Professor, Department of Ishaq Ahamed A Prof. M. Lakshmanan Physics, Jamal Mohamed College, Trichy Assistant Professor, Department of 2018 Premalatha K Dr. M. Senthilvelan Physics, P.S.G. College of Arts & Science, Coimbatore Viva-Voce exam completed on 21- 2019 Premraj D Prof. K. Thamilmaran 01-2019

Facilities

High Performance Computing and Network Facilities The department has advanced computing laboratory with UNIX based cluster, servers, workstations and personal computers with network. The laboratory is widely used by the faculty members, research students and post-graduate students for their research, project work and computational experiments. S. No Name of the equipment Cost

1. 32 – Node Computer Cluster INR 1,00,00,000

2. 6 – Node Computer Cluster INR 10,00,000

3. Silicon Graphics Fuel Workstation US$ 14,100

4. Intel Xenon Servers and Personal Computers INR 10,00,000

5. HP 33120 A, 15 MHz Function Generator with option INR 2,40,000

106 Benchlink

6. Dual Trace Storage Oscilloscope INR 2,00,000

7. 15 MHz Function and wave form generator US$ 3,027

8. Programmable Current Source US$ 4,405

9. Sun Fire Server : Model V 880 US$ 30,000

10. LCR Meter (100 Hz-5Mhz) INR 2,50,000

11. Mixes Signal Oscillascope INR 7,96,000

12. 15MHz Arbitrary Waveform Generator INR 2,90,000

13. Programmable Power Supply INR 1,24,000

14. Pspice Software INR 1,75,000

15. Agilent Data Acquisition INR 1,96,000 High Performance Computing Lab

High Performing Cluster Nodes

32 Node Cluster 6 Node Cluster

Chiller

Nonlinear Electronics Lab

The nonlinear electronics laboratory has facilities to carry out experimental studies in research areas such chaos, chaos synchronization and investing new electronic circuits besides to carry practicals at advanced graduate level.

The following are some of the major equipments available in the nonlinear electronics laboratory.  Digital Storage Oscilloscopes (4 channel and 2 channel)  Arbitrary waveform generator

 Analog to Digital converter  E3631A Programmable DC power supply  Arbitrary waveforms generator (33250A 80 MHz)  Mixed Signal Oscilloscope DSO 5014A  LCR Resistance meters (E4980A & 4263B)  Spectrum analyzer (N9320A)  D/A converter (U2351A data acquisition card): PC to circuits  OrCAD Pspice.

Library Facilities

The Department has a world class library which is specially supported by the National Board for Higher Mathematics (NBHM) of DAE and Bharathidasan University. It has a very good collection of books required for research in nonlinear dynamics in the department. At present nearly 2600 books on nonlinear dynamics are available in the library. There is an online catalogue system available in the library for easy access to the books. The above special grant also supports subscription of nearly 30 international journals in the area of nonlinear dynamics. It is also has a collection of a good number of back volumes of several journals in nonlinear dynamics (some of them are in full collection). Also faculty members and Research students have access to many electronic journals.

Our students during conference at IIT- Guwahati

Our Students with Foreign and Indian Experts

Departmental Activities

Special CSIR-UGC NET classes for M.Sc., Students by Prof. S. V. N. Sathyanarayana of Pondicherry University

Innovative Teaching

 The Department of Nonlinear Dynamics faculties are jointly teaching for M.Sc., and M.Phil., courses with Department of Physics.  As the department have own Projectors, Laptop with internet facilities, we have used the Computer based Teaching and Learning methods.  To enhance students understanding on several theoretical topics, we have prepared our own module by using power point and Mathematica.

Distinguished Alumni

All our Ph.D. scholars are much sought after by leading research groups and academic institutions all around the world. Many of them have obtained post-doctoral and research/staff positions in Germany, France, Italy, Japan, U.S.A. and Australia as well as in leading universities and colleges in Tamilnadu and in other parts of the country.

Dr. K. Porsezian, Dr. K. Ganesan, Dr. K. Murali, Dr. M. Senthilvelan, Dr. S.Parthasarathy, Dr. S. Selvaraj, Dr. P. Muruganandam and Dr. V. Veerakumar were awarded prestigious postdoctoral research positions in well known universities/institutes in Brazil, England, France, Germany, Ireland, Italy, Japan, Taiwan and U.S.A. Dr. D. V. Senthilkumar has been awarded Alexander von Humboldt Foundation Fellowship for postdoctoral research in Germany recently.

Our former research students have been employed at various levels, in Institute, in universities including Bharathidasan University, University of Madras, Pondicherry University and Anna University (Chennai). These include Dr. D. V. Senthilkumar (IISER, Thiruvanandhapuram), Dr. S. Rajasekar (Professor, Bharathidasan University), Dr. K. M. Thamizhmani (Professor, Pondicherry University), Dr. K. Porsezian (Professor, Pondicherry University), Dr. R. Sahadevan (Professor, University of Madras), Dr. K. Murali (Associate Professor, Anna University, Chennai), Dr. M. Senthilvelan (Associate Professor, Bharathidasan University), Dr. P. Muruganandam (Associate Professor, Bharathidasan University) and Dr. L. Kavitha (Assistant Professor, ). A large number of scholars have been absorbed into the Tamilnadu state services. The list includes Dr. R. Radha, Dr. R. Amuda, Dr. R. Radhakrishnan, Dr. A. Venkatesan, Dr. N. Athavan, Dr. S. Vijayalakshmi, Dr. T. Kanna and Dr.P.Palaniyandi. ------

Name Professor and Head Department of Nonlinear Dynamics Bharathidasan University Tiruchirappalli - 620 024 Tamil Nadu, India Tel: +91 431 - 2407093 Fax:+91 431- 2407093 E-Mail: [email protected] [email protected] Web: www.bdu.ac.in

Research Projects – Appendix I

Period Amou Fundin S. Principal nt Project Title g No Investigator From To ₹ (in Agency lakhs) 1. Prof. M. Lakshmanan Moving curves and surfaces in 2015 2018 DAE 12 potential fields: Geometrical connections to spin systems and soliton equations

2. Prof. K. Thamilmaran Dynamics of memristor based 2013 2017 DST- 32.04 coupled chaotic circuits SERB

3. Dr. M. Senthilvelan Multi-Rogue wave solutions of 2013 2016 NBHM 9.67 certain coupled nonlinear Schrödinger equations. 4. Dr. M. Senthilvelan Classical and quantum dynamics 2013 2016 DST- 19.35 of certain PT symmetric SERB (reversible) Lienard type nonlinear oscillator 5. Prof. K. Thamilmaran Experimental Students on the 2011 2014 DST- 7.6 Dynamical of Coupled Nonlinear SERB Electronic Oscillators 6. Prof. M. Lakshmanan DST Ramanna Fellowship 2011 2014 DST 33 project

7. Dr. M. Senthilvelan On the dynamics of certain two 2010 2013 UGC 8.29 component Generalization of Camassa - Holm and Degasperis – Processi equations 8. Dr. M. Senthilvelan Applied Nonlinear Physics: Indo- 2009 2012 DST 12.22 Brazil Joint Research Project

9. Prof. M. Lakshmanan Establishment of a Nonlinear 2008 2015 DST 284.00 Dynamics Unit – Phase III

10. Dr. M. Senthilvelan On the invariance, linearization 2008 2011 DST 10.39 and integrability of certain nonlinear dynamical systems

Period Amoun S. Principal Funding t Project Title No Investigator From To Agency ₹ (in lakhs) 11. Dr. M. Senthilvelan A New approach to integrability 2007 2011 NBHM 6.32 of a class of nonlinear ordinary and partial differential equations

12. Prof. M. Lakshmanan DST Ramanna Fellowship Grant 2007 2010 DST 40.2

13. Prof. M. Lakshmanan Spatio-temporal Patterns and 2004 2007 DAE 13.0 Localized Structures in Nonlinear Schrodinger Family of Equations in (2+1) Dimensions

14. Prof. M. Lakshmanan Establishment of a Nonlinear 2002 2007 DST 100.12 Dynamics Unit – Phase II

15. Prof. M. Lakshmanan Integrability and 2001 2004 DAE 7.2 Nonintegrability of Nonlinear Differential Equations: Role of Symmetries and Singularity Structures

16. Prof. M. Lakshmanan Optical Soliton Interactions in 2002 2005 CSIR 12.0 Birefringent Fibers

17. Prof. M. Lakshmanan Nonlinear Differential Equations 1998 2001 DAE 5.0 of Diffusive Type: Spatio Temporal Patterns Bifurcation and Chaos

18. Prof. M. Lakshmanan Establishment of a Nonlinear 1995 2002 DST 83.0 Dynamics Unit

19. Prof. M. Lakshmanan Symmetry, Singularity Structure 1994 1997 DAE 2.0 and Bifurcation Aspects of Certain Nonlinear Differential Equations

20. Prof. M. Lakshmanan Nonlinear Dynamics of Magnetic 1990 1995 DST 6.25 Systems: Coherent and Chaotic Stuctures

21. Prof. M. Lakshmanan Classical and Quantum chaos in 1900 1994 CSIR 4.0 Rydberg Atoms in External Field

Ongoing Projects

S. Principal Project Title Period Funding Amount No. Investigator From To Agency ₹ (in lakhs) 1. Dr. M. Senthilvelan Nonstandard 2018 2021 NBHM 13.73 Bilinearization and

PT-invariant Localized Solution of Certain PT-invariant Nonlocal Nonlinear Schrödinger Equation 2. Prof. M. Lakshmanan DST-SERB 2018 2023 DST 125 Distinguished Fellowship Project

3. Dr. M. Senthilvelan Exploring the 2017 2020 DST-SERB 18.85 dynamics, control mechanisms and novel structures in certain PT symmetric systems 4. Dr. M. Senthilvelan Collective 2017 2020 CSIR 7.51 Dynamical states of (2 years coupled Nonlinear Grant) Oscillators 5. Prof. M. Lakshmanan Collective 2016 2019 DST 29 Dynamical Structures in Coupled Nonlinear Oscillators

6. Prof. M. Lakshmanan Nonlinear Dynamics 2015 2019 CSIR 15 of Spin Transfer Nano Oscillators (STNOs)

7. Prof. M. Lakshmanan Library Grant to the From the year 1990 DAE 4.30 Centre for Nonlinear onwards. (NBHM) Per year Dynamics Annual Grant

Appendix II List of Research Publications since 2013-14

Total Publication – 408 (From Inception) h-Index - 43 2018 Sum of Times Cited - 7212

1. S Stalin, R Ramakrishnan, M Senthilvelan, M Lakshmanan, Nondegenerate solitons in Manakov system, Phys. Rev. Lett. (2018) To Appear. 2. A Govindarajan, Amarendra K Sarma, M Lakshmanan, Tailoring PT -symmetric soliton switch, Accepted Optics Letters (2018) To Appear. 3. S. Stalin, M. Senthilvelan and M. Lakshmanan, “Energy Sharing Collisions and the Dynamics of Degenerate Solitons in the nonlocal Manakov System”, Nonlinear Dyn. (2018) To appear 4. S. Stalin, M. Senthilvelan and M. Lakshmanan, Degenerate soliton solutions and their dynamics in the nonlocal Manakov system: I Symmetry preserving and symmetry breaking solutions, Nonlinear Dyn. 95, 343 (2019). 5. N. Vishnu Priya, G.Rangarajan, M. Lakshmanan and M.Senthilvelan, On Symmetry Preserving and Symmetry Broken Bright, Dark and Antidark Soliton Solutions of Nonlocal Nonlinear Schrodinger Equation, Phys Letts. A 383, 15 (2019). 6. K. Manikandan, S. Stalin and M. Senthilvelan, Dynamical behaviour of solitons in a PT- invariant nonlocal nonlinear Schrodinger equation with distributed coefficients, Eur. Phys. J. B 91, 291 (2018). 7. K. Manikandan, N. Vishnu Priya, M. Senthilvelan and R. Sankaranarayanan, Deformation of dark solitons in a PT-invariant variable coefficients nonlocal nonlinear Schrodinger equation, Chaos 28, 083103 (2018). 8. S.Kartiga, V. Chithiika Ruby and M.Senthilvelan, An inclusive SUSY approach to position dependent mass systems, Phys Letts. A 381 (2018). 9. K. Premalatha, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Stable amplitude chimera states in a network of locally coupled Stuart-Landau oscillators, Chaos 28, 033110 (2018) 10. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, On the interconnections between various analytic approaches in coupled first-order nonlinear differential equations, Comm. Nonlinear Sci. and Num. Sim 62 213 (2018). 11. R. Mohanasubha, V. K. Chandrasekar and M. Senthilvelan, A note on deriving linearizing transformations for a class of second order nonlinear ordinary differential equations, Nonlinear Analysis Real World Appli. 39, 202 (2018). 12. K Ponrasu, K Sathiyadevi, V K Chandrasekar, M Lakshmanan, Conjugate coupling-induced symmetry breaking and quenched oscillations, Europhys. Lett.,124, 20007 (2018). 13. K Sathiyadevi, VK Chandrasekar, DV Senthilkumar, M Lakshmanan, Imperfect amplitude mediated chimera states in a nonlocally coupled network, Frontiers in Applied Mathematics and Statistics 4, 58 (2018). 14. M. Vijayajayanthi, T. Kanna, K. Murali and M.Lakshmanan, Harnessing energy sharing collisions of Manakov solitons to implement universal NOR and OR gates, Phys. Rev. E, 97, 060201(R) (2018). 15. M. Sathish Aravindh, A. Venkatesan and M. Lakshmanan, Strange nonchaotic attractor for computation, Phys. Rev. E, 97, 052212 (2018). 16. M. Lakshmanan and Avadh Saxena, Exact intrinsic localized excitation of an anisotropic ferromagnetic spin chain in external magnetic field with Gilbert damping, spin current and PT symmetry, Physics Letters A 382, 1890-1895 (2018). 17. S. Dutta, M. Lakshmanan and S. Chakaraborthy, Non-minimally coupled scalar field in Kantowski-Sachs model and symmetry analysis, Annals of Physics, 393, 254-263(2018). 18. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, On the interconnections between various analytic approaches in coupled first-order nonlinear differential equations,Communications in Nonlinear Science and Numerical Simulation, 62, 213-228 (2018). 19. K. Sakkaravarthi, A. G. Johnpillai, A. Durga Devi, T. Kanna and M. Lakshmanan, Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation, Applied Mathematics and Computation 331, 457-472(2018). 20. K. Sathyadevi, S. Karthiga, V. K. Chandrasekar, D. V. Senthilkumar and M. Lakshmanan, Distinct collective states due to trade-off between attractive and repulsive couplings, Phys. Rev. E97, 032207(12 pages) (2018). 21. S.Kundu, S. Majhi, B. K. Bera, D. Ghosh and M. Lakshmanan, Chimera states in two- dimensional networks of locally coupled oscillators, Phys. Rev. E97, 022201(12 pages)(2018). 22. R. Gopal, V. K. Chandrasekar, D. V. Senthilkumar, A. Venkatesan and M. Lakshmanan, of an ensemble of identical nonlinear oscillators, Communications in Nonlinear Science and Numerical Simulation, 59, 30-46 (2018) 23. S. Sabarathinam, K. Thamilmaran, Controlling of chaos in a tumor growth cancer model: An experimental study, Electronics Letters (2018). 24. D. Premraj, K. Suresh, Tanmoy Banerjee, K. Thamilmaran, Bifurcation delay in a network of locally coupled slow-fast systems, Physical Review E, 98, 022206 (2018). 25. P. Megavarna Ezhilarasu, M. Inbavalli, K. Murali, K. Thamilmaran, Strange non-chaotic attractors in a state controlled-cellular neural network-based quasiperiodically forced MLC circuit, Pramana, 91, 4 (2018). 26. V. Vaibhav, S. Sabarathinam, A. Prasad, K. Thamilmaran, Infinite number of hidden attractors in memristor-based autonomous duffing oscillator, International Journal of Bifurcation and Chaos, 28, 1850013 (2018). 27. J. Palanivel, K. Suresh, D. Premraj, K. Thamilmaran, Effect of fractional-order, time-delay and noisy parameter on slow-passage phenomenon in a nonlinear oscillator, Chaos, Solitons & Fractals, 106, 35-43 (2018). 28. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, On the symmetries of a Lienard type nonlinear oscillator, in Symmetries, Differential Equations and Applications 75-103, Springer, Cham (2018)

2017

29. S. Stalin, M. Senthilvelan and M. Lakshmanan, Nonstandard bilinearization of PT-invariant nonlocal nonlinear Schrödinger equation: Bright soliton solutions, Phys Letts. A 381 2380, (2017). 30. S. Karthiga, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Controlling of blow- up responses by a nonlinear PT symmetric coupling, Phys. Rev. A 95 033829 (2017) 31. K. Premalatha, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Chimera like states in two distinct groups of identical populations of coupled Stuart-Landau oscillators, Phys. Rev. E 95, 022208 (2017). 32. R. Mohanasubha and M. Senthilvelan, On the symmetries of a nonlinear oscillator, Comm. Nonlinear Sci. and Num. Sim 43, 111 (2017). 33. S. Karthiga, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Systems that become PT symmetric through interactions, Phys. Rev. A 94, 023829 (2016). 34. K. Premalatha, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Imperfect Synchronized states and chimera states in two interacting populations of nonlocally coupled Stuart-Landau oscillators, Phys. Rev. E, 94, 012311 (2016). 35. S. Karthiga, V. Chithiika Ruby, M.Senthilvelan and M. Lakshmanan, Quantum Solvability of a general ordered position dependent mass system: Mathews-Lakhsmanan oscillator, J. Math. Phys. 58, 102110, (2017). 36. P. R. Venkatesh, A. Venkatesan and M. Lakshmanan, Implementation of dynamical dual input multiple output logic gate via resonance in globally coupled Duffing oscillators, Chaos 27, 083106, (10 pages)(2017). 37. A. Ishaq Ahamed and M. Lakshmanan, Discontinuity induced Hopf and Neimarck - Sacker bifurcation in a memristive Murali Lakshmanan Chua circuit, Int. J. Bifurcation and Choas, 27, 1730021 (21 pages), (2017). 38. K. Sathiyadevi, S. Karthiga, V. K. Chandrasekar, D. V. Senthilkumar and M. Lakshmanan, Spontaneous symmetry breaking due to the trade-off between attractive and repulsive couplings , Phys. Rev. E 95, 042301 (2017). 39. P. R. Venkatesh, A. Venkatesh and M. Lakshmanan, Design and Implementation of dynamic logic gates and R-S flip-flop using quasiperiodically driven Murali-Lakshmanan-Chua circuit, Chaos, 27, 033105 (10 pages), (2017). 40. A. Durga Devi, R. Gladwin Pradeep, V. K. Chandrasekar and M. Lakshmanan, Two dimensional isochronous nonstandard Hamiltonian systems, Journal of Engineering Mathematics 104, 63-75(2017). 41. S. Leo Kingston, K. Thamilmaran, Pinaki Pal, Ulrike Feudel, Syamal K Dana, Extreme events in the forced Liénard system, Physical Review E, 96, 052204 (2017). 42. K. Suresh, J. Palanivel, K. Thamilmaran , Successive torus doubling and birth of strange non- chaotic attractors in non-linear electronic circuit, Electronics Letters, 53, 1464 (2017). 43. S. Leo Kingston, K. Thamilmaran, Bursting Oscillations and Mixed-Mode Oscillations in Driven Liénard System, International Journal of Bifurcation and Chaos, 27, 1730025 (2017). 44. R. Rocha, R. Jothimurugan, K. Thamilmaran, Memristive oscillator based on Chua’s circuit: stability analysis and hidden dynamics, Nonlinear Dynamics, 88, 2577 (2017). 45. D. Premraj, K. Suresh, J. Palanivel, K. Thamilmaran, Dynamic bifurcation and strange nonchaos in a two-frequency parametrically driven nonlinear oscillator, Communications in Nonlinear Science and Numerical Simulation, 50, 103 (2017). 46. D. Premraj, K. Suresh, Tanmoy Banerjee, K. Thamilmaran, Control ofbifurcation-delay of slow passage effect by delayed self-feedback, Chaos 26, 083104 (2017). 47. J. Palanivel, K. Suresh, S. Sabarathinam, K. Thamilmaran, Chaos in a low dimensional fractional order nonautonomous nonlinear oscillator,Chaos, Solitons & Fractals 95, 33 (2017). 48. S. Sabarathinam, K. Thamilmaran, Implementation of analog circuit and study of chaotic dynamics in a generalized Duffing-type MEMS resonator, Nonlinear Dynamics, 87, 2345 (2017). 49. S. Sabarathinam, Christos K Volos, K. Thamilmaran, Implementation and study of the nonlinear dynamics of a memristor-based Duffing oscillator, Nonlinear Dynamics, 87, 37 (2017).

2016

50. K. Manikandan and M. Senthilvelan, An analysis of spatiotemporal localized solutions in the variable coefficients (3+1)-dimensional nonlinear Schrödinger equation with six different forms of different dispersion parameters, Chaos 26, 073116 (2016). 51. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Interplay of symmetries and other integrability quantifiers in finite dimensional integrable nonlinear dynamical systems, Proc. R. Soc. A 472, 20150847 (2016). 52. N. Ananth and M. Senthilvelan, Identifying non-k-separability of a class of N-qubit complete graph states using correlation tensors, Eur. Phys. J. D 70, 149 (2016). 53. K. Manikandan, M. Senthilvelan and R. A. Kraenkel, On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients, Eur. Phys. J. B, 89, 218 (2016). 54. K. Premalatha, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Different kinds of chimera death states in nonlocally coupled oscillators, Phys. Rev. E 93, 052213 (2016). 55. Ajey K. Tiwari, S. N. Pandey,V. K. Chandrasekar, M. Senthilvelanand M. Lakshmanan, The inverse problem of a mixed Li\'enard type nonlinear oscillator equation from symmetry perspective, Acta Mechanica 227, 2039 (2016). 56. K. Manikandan, P. Muruganandam, M. Senthilvelan and M. Lakshmanan, Manipulating localized matter waves in multi-component Bose-Einstein condensates, Phys. Rev. E 93, 032212 (2016). 57. N. Vishnu Priya and M. Senthilvelan, N- bright - bright and N- dark – dark solitons of the coupled generalized nonlinear Schrödinger equations, Comm. Nonlinear Sci. and Num. Sim., 36, 366-377 (2016). 58. K. Manikandan, M. Senthilvelan and R. A. Kraenkel, Amplification of matter rogue waves and breathers in quasi-two-dimensional Bose-Einstein condensates, Eur. Phys. J. B, 89, 30 (2016) 59. N. Ananth and M. Senthilvelan, On the non-k-separability of Dicke class of states and N-qudit W states, Int. J. Theor. Phys 55, 1854-1870 (2016) 60. S.Karthiga, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Twofold-PT symmetry in nonlinearly damped dynamical systems and tailoring PT regions with position dependent loss-gain profiles, Phys. Rev. A 93, 012102 (2016). 61. R. Gladwin Pradeep, V. K. Chandrasekar, R. Mohanasubha, M. Senthilvelan and M. Lakshmanan, Order preserving contact transformations and dynamical symmetries of scalar and coupled Riccati and Abel chains, Communications in Nonlinear Science and Numerical Simulation 36, 303 (2016) 62. R. Suresh, D. V. Senthilkumar, M.Lakshmanan and J. Kurths, Emergence of a common generalized synchronization manifold in network motifs of structurally different time-delay systems,Chaos, Solitons and Fractals, 93, 235-245 (2016). 63. Debaldev Jana, R.Gopal and M. Lakshmanan, Complex dynamics generated by negative and positive feedback delays of a prey-predator system with prey refuge: Hopf bifurcation to Chaos, International Journal of Dynamics and Control, 5,1-15 (2016). 64. S. Dutta, M. Lakshmanan and S. Chakraborty, Quintom cosmological model and some possible solutions using Lie and Noether symmetries, Int. Journal of Modern Physics D15, 1650110 (2016)(17pages). 65. V. K. Chandrasekar, R. Gopal, D. V.Senthilkumar and M. Lakshmanan, Phase-flip chimera induced by environmental non-local coupling, Phys. Rev. E, 94, 012208 (2016). 66. M. Vijayajayanthi, T. Kanna, M. Lakshmanan, and K. Murali and M. Lakshmanan, Explicit construction of single input-single output logic gates from three soliton solution of Manakov system, Communications in Nonlinear Science and Numerical Simulation 36,391 (2016). 67. K. Srinivasan, V.K Chandrasekar , R. Gladwin Pradeep, K. Murali and M. Lakshmanan, Different Types of Synchronization in Coupled Network Based Chaotic Circuits, Communications in Nonlinear Science and Numerical Simulation 39,156, (2016). 68. P. R. Venkatesh, A. Venkatesan and M. Lakshmanan, Analytical treatment for synchronizing chaos through Unidirectional coupling and Implementation of logic gates, Pramana 86,1195, (2016). 69. K. Suresh, S. Sabarathinam, K. Thamilmaran, Jürgen Kurths, Syamal K. Dana, A common lag scenario in quenching of oscillation in coupled oscillators, Chaos 26, 083104 (2016). 70. D. V. Senthilkumar, K. Suresh, V. K. Chandrasekar, Wei Zou, Syamal K. Dana, K. Thamilmaran , Jürgen Kurths, Experimental demonstration of revival of oscillations from death in coupled nonlinear oscillators, Chaos 26, 043112 (2016). 71. P. R. Sharma, N. K. Kamal, U. K. Verma, K. Suresh, K. Thamilmaran, M D Shrimali, Suppression and revival of oscillation in indirectly coupled limit cycle oscillators, Physics Letters A 380, 3178 (2016). 72. A. Jeevarekha, S. Sabarathinam, K. Thamilmaran, P. Philominathan, Analysis of 4D autonomous system with volume-expanding phase space, Nonlinear Dynamics 84, 2273 (2016). 73. R. Jothimurugan, K. Thamilmaran, S. Rajasekar, MAF Sanjuán, Multiple resonance and anti- resonance in coupled Duffing oscillators, Nonlinear Dynamics 83, 1803 (2016). 74. D. Premraj, K. Suresh, Tanmoy Banerjee, K. Thamilmaran, An experimental study of slow passage through Hopf and pitchfork bifurcations in a parametrically driven nonlinear oscillator, Communications in Nonlinear Science and Numerical Simulation, 37, 212 (2016).

2015

75. Ajey K. Tiwari, S. N. Pandey, M. Senthilvelan and M. Lakshmanan, Lie point symmetries classification of the mixed Lienard type equation, Nonlinear Dynamics 82, 1953 (2015) 76. K. Premalatha, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Impact of symmetry breaking in networks of globally coupled oscillators, Phys. Rev. E 91, 052915 (2015). 77. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Interconnections between various analytic approachs applicable to third order nonlinear differential equations, Proc. Roy. Soc. Lond. Series 471: 20140720 (2015) 78. N. Ananth, V. K. Chandrasekar and M. Senthilvelan, On the separability condition for bipartite states with certain non-Hermitian operators, Int. J. Theor. Phys. 54, 2632 (2015). 79. N. Ananth, V. K. Chandrasekar and M. Senthilvelan, Criteria for non-k-separability in n- partite quantum states, Eur. Phys. J. D 69, 56 (2015). 80. V. Chithiika Ruby, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Removal of ordering ambiguity for a class of position dependent mass quantum systems with an application to the quadratic Lienard type nonlinear oscillators, J. Math. Phys. 56, 012103 (2015) 81. N. Vishnu Priya and M.Senthilvelan, On the characterization of breather and rogue wave solutions and modulation instability of a coupled generalized nonlinear Schrödinger equations, Wave Motion 54 125 (2015) 82. N. Vishnu Priya and M.Senthilvelan, Generalized Darboux Transformations and N-th order rogue wave solutions of general coupled nonlinear Schrödinger equations, Comm. Nonlinear Sci. and Num. Sim., 20, 401-420 (2015). 83. N. Vishnu Priya, M.Senthilvelan and M. Lakshmanan, Breathers and rogue waves: Demonstration with coupled nonlinear Schrödinger family of equations Pramana 84, 339 (2015) 84. M. Senthilvelan, V. K. Chandrasekar and R. Mohanasubha, Symmetries of ordinary differential equations: the modified Emden equation as study case, Pramana 85, 755 (2015). 85. Bidesh K. Bera, Dibakar Ghosh, M. Lakshmanan, Chimera states in bursting neurons, Phys. Rev E 93, 012205 (2015). 86. V. K. Chandrasekar, R. Suresh D.V. Senthilkumar and M. Lakshmanan, Emergence of coexisting coherence and incoherence by an external forcing, Euro.Phys Letters111 6008 (2015). 87. R. Myrzakulov, G.K. Mamyrbekova, G.N. Nugmanova and M. Lakshmanan, Integrable (2+1)- dimensional spin models with self consistent potentials, Symmetry 7(3), 1352-75 (2015) 88. R. Gopal, V. K. Chandrasekar, D. V. Senthilkumar, A. Venkatesan, and M. Lakshmanan, Effect of asymmetry parameter on the dynamical states of nonlocally coupled nonlinear oscillators, Phys. Rev. E 91,062916 (2015). 89. V. K. Chandrasekar, S. Karthika and M. Lakshmanan, Feedback as a mechanism for the resurrection of oscillations from death state, Phys. Rev. E 92,012903 (2015). 90. B. Subash, V. K. Chandrasekar, M. Lakshmanan, Nonlinear Dynamics of Spin Transfer Nano Oscillators, Pramana 84, 473 (2015). 91. T. Kanna, K. Sakkaravarthi, M. Vijayajayanthi and M. Lakshmanan, Dynamics of solitons in multicomponent long waveshort wave resonance interaction system, Pramana 84, 327 (2015). 92. Ajey K. Tiwari, S. N. Pandey, V. K. Chandrasekar and M. Lakshmanan, Factorization technique and isochronous condition for coupled quadratic and mixed Liénard-type nonlinear systems, Applied Mathematics and Computation, 252, 457-472 (2015). 93. B. Subash, V. K. Chandrasekar, M. Lakshmanan, Enhanced synchronization in an array of spin torque nano oscillators in the presence of oscillating external magnetic field, Europhys. Lett 109, 17009 (2015). 94. A. Arulgnanam, A. Prasad, K. Thamilmaran, M. Daniel, Multilayered bubbling route to SNA in a quasiperiodically forced electronic circuit with experimental and analytical confirmation, Chaos, Solitons & Fractals, 75, 96 (2015). 95. R. Jothimurugan, K. Thamilmaran,S. Rajasekar and M. A. F. Sanjuán, Multiple resonance and anti-resonance in coupled Duffing oscillators, Nonlinear Dynamics 83, 1803 (2015). 96. A. Arulgnanam, K. Thamilmaran, M. Daniel, A Rich Spectrum of Dynamical Phenomenon in a Forced Parallel LCR Circuit with a Simple Nonlinear Element, Chinese Journal of Physics 53, 22 (2015). 97. S. Sabarathinam, K. Thamilmaran, Transient chaos in a globally coupled system of nearly conservative Hamiltonian Duffing oscillators, Chaos, Solitons & Fractals, 73, 129 (2015). 98. A. Arulgnanam, A. Prasad, K. Thamilmaran, M. Daniel, Multilayered bubbling route to SNA in a quasiperiodically forced electronic circuit with a simple nonlinear element, International Journal of Dynamics and Control, 1 (2015). 99. D. Giridharan, P. Sabareesan and M. Daniel, Current induced magnetization dynamic in one dimensional magnonic crystal, IEEE Transaction on Magnetics, 51, 1301007 (2015).

100. D. Aravinthan, P. Sabareesan and M. Daniel, Current induced magnetization switching in Co/Cu/Ni-Fe nanopillar with orange peel coupling, AIP Advances, 5, 077166 (2015).

101. R. Arun, P. Sabareesan and M. Daniel, Impact of current on static and kinetic depinning fields of domain wall in ferromagnetic nanostrip, Pramana-Journal of Physics, 85, 947 (2015).

2014

102. K. Manikandan, P.Muruganandam, M.Senthilvelan and M. Lakshmanan, Manipulating matter- rogue waves and breathers in Bose-Einstein condensates Phys. Rev. E 90, 062905 (2014) 103. N. Vishnu Priya and M.Senthilvelan, Higher order rogue wave solutions of general coupled nonlinear Schrödinger equations, Physica Scripta . 90 025203 (2014) 104. V. Chithiika Ruby and M.Senthilvelan, Photon modulated coherent states of a generalized isotonic oscillator by Weyl ordering and their non-classical properties, Int. J. Theor. Phys. 53 4338-4350 (2014). 105. N. Vishnu Priya, M.Senthilvelan and M. Lakshmanan, Dark solitons, Breathers and Rogue Wave Solutions of the Coupled Generalized Nonlinear Schrödinger Equations, Phys. Rev. E 89 062901 (2014). 106. P. R. Gordoa, A. Pickering and M. Senthilvelan, The Prelle-Singer method and Painleve hierarchies, J. Math. Phys., 54 053510 (2014) 107. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Interplay of symmetries, null forms, Darboux polynomials, integrating factors and Jacobi multipliers in integrable second order differential equations, Proc. Roy. Soc. Lond.. Series A 470, 20130656 (2014). 108. V. Chithiika Ruby, P.Muruganandam and M.Senthilvelan, Nonlinear time evolution of coherent states with observation of super revivals in a generalized isotonic oscillator, Int. J. Geometric Meth. Mod. Phys. 11 1450027 (2014). 109. R. Mohanasubha, M.I. Sabiya Shakila and M. Senthilvelan, On the linearization of isochronous centre of a modified Emden equation with linear external forcing, Communications in Nonlinear Science and Numerical Simulation 19 799-806 (2014) 110. V. K. Chandrasekar, R.Gopal, A. Venkatesan and M. Lakshmanan, Mechanism for intensity induced chimera states in globally coupled oscillators Phys.Rev. E 90, 062913 (2014). 111. K. Sakkaravarthi, T. Kanna, M. Vijayajayanthi and M. Lakshmanan Multicomponent long- wave short-wave resonance interaction system: Bright solitons, energy sharing collisions and resonant solitons, Phys. Rev . E 90, 052912 (2014) 112. T. Kanna, M. Vijayajayanthi, and M. Lakshmanan, Mixed solitons in (2 + 1) dimensional multicomponent long wave-short wave system, Phys. Rev. E 90, 042901 (2014). 113. S. Balakrishnan and M. Lakshmanan, Chaining property for two-qubit operator entanglement measures, The European Physical Journal Plus 129, 231 (2014). 114. R. Myrzakulov, G.K. Mamyrbekova, G.N. Nugmanova and M. Lakshmanan, Integrable motion of curves in self-consistent potentials: Relation to spin systems and soliton equationsIntegrable (2+1)-dimensional spin models with self consistent potentials, Physics Letters A 378, 2118 (2014) 115. R. Gopal, V. K. Chandrasekar, A. Venkatesan and M. Lakshmanan, Observation and characterization of chimera states in coupled dynamical systems with nonlocal coupling, Phys. Rev. E 89, 052914 (2014) . 116. R. Suresh, K. Srinivasan, D. V. Senthilkumar, K.Murali, M. Lakshmanan and J. Kurths, Dynamic environment coupling induced synchronized states in coupled time-delayed electronic circuits Int. J. Bifurcation Chaos 24, 1450067 (2014). 117. M. Lakshmanan, B. Subash, and Avadh Saxena, Intrinsic Localized Models of a Discrete Anisotropic Heisenberg Ferromagetic Spin Chain, Physics Letters A, 378, 1119-1125 (2014) 118. P. S. Swathy, K. Thamilmaran, Hyperchaos in SC-CNN based modified canonical Chua’s circuit, Nonlinear Dynamics, 78, 2639 (2014). 119. P. S. Swathy, S. Sabarathinam, K. Suresh, K. Thamilmaran, Chaos synchronization and transmission of information in coupled SC-CNN-based canonical Chua’s circuit, Nonlinear Dynamics, 78, 1033 (2014). 120. K. Suresh, MD. Shrimali, A. Prasad, K. Thamilmaran, Experimental evidence for amplitude death induced by a time-varying interaction, Physics Letters A, 378, 2845 (2014). 121. R. Jothimurugan, K. Suresh, P. Megavarna Ezhilarasu and K. Thamilmaran, Improved realization of Canonical Chua’s Circuit using current feedback operational amplifier, AEU- International Journal of Electronics and Communications, 68, 413 (2014). 122. A. Sharma, K. Suresh, K. Thamilmaran, A. Prasad, MD. Shrimali, Effect of parameter mismatch and time delay interaction on density-induced amplitude death in coupled nonlinear oscillators, Nonlinear Dynamics, 76, 1797 (2014.) 123. P. S. Swathy. K. Thamilmaran, (2014), SC-CNN based variant MLC circuit: Anexperimental study, International Journal of Bifurcation and Chaos, 24, 1430008 (2014). 124. R. Mohanasubha, J.H.Sheeba, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, A nonlocal connection between certain linear and nonlinear ordinary differential equations - Part II: Complex nonlinear oscillators, Applied Mathematics and Computation 224 593-602 (2013) 125. N. Vishnu Priya, M.Senthilvelan and M. Lakshmanan, Akhmediev breathers, Ma solitons and general breathers from rogue waves: A case study in Manakov system, Phys. Rev. E 88 022918 (2013) 126. Ajey K. Tiwari, S. N. Pandey,M. Senthilvelan and M. Lakshmanan, Classification of Lie point symmetries for quadratic Lienard type equation 푥¨+f(푥)푥˙ 2+g(푥) = 0, J. Math. Phys., 54, 053506 (2013); Erratum J. Math. Phys., 55, 059901 (2014)

2013

127. R. A. Kraenkel, K. Manikandan and M. Senthilvelan, On certain new exact solutions of a diffusive Predator-Prey system, Comm. Nonlinear Sci. and Num. Sim., 18, 1269 (2013) 128. V. Chithiika Ruby, S. Karthiga and M.Senthilvelan, Ladder operators and squeezed coherent states of a 3-dimensional generalized isotonic nonlinear oscillator, J. Phys. A: Math. Theor. 46, 025305 (2013) 129. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, On certain analytical methods in finding integrable systems and their interconnections in Nonlinear Dynamics and its Applications (Ed.) Swapan Kr.Ghosh (Book Centre, Santiniketan, 2013) p. 93-106. 130. B. Subash, V. K. Chandrasekar, Jane. H. Sheeba, M. Lakshmanan and J. Kurths, Adaptive coupling induced multi-stable states in complex networks, Physica D 267, 36-48 (2013). 131. D. V. Senthilkumar, R. Suresh, M. Lakshmanan and J. Kurths, Global generalized synchronization in networks of different time-delay systems, Europhys. Lett.103, 50010 (2013). 132. B. Subash, V. K. Chandrasekar and M. Lakshmanan, Synchronization of an array of spin torque nano oscillators in periodic applied external magnetic field, Europhys. Lett. 102, 17010 (2013). 133. R.Gopal, A.Venkatesan, and M.Lakshmanan, Applicability of 0-1 test for Strange Nonchaotic Attractors, Chaos 23, 023123 (2013). 134. M. Lakshmanan and V.K. Chandrasekar, Generating finite dimensional nonlinear dynamical systems, Eur. Phys. J. Special Topics 222, 665 (2013). 135. Ishaq Ahmed and M. Lakshmanan, Nonsmooth bifurcations, Transient Hyperchaos and hyperchaotic beats in a Memristive Murali-Lakshmanan-Chua Circuit, Int. J Bifurcation Chaos23, 1350098 (2013). 136. A. Durga Devi, R. Gladwin Pradeep, V. K. Chandrasekar and M. Lakshmanan, Method of generating N -dimensional isochronous Hamiltonian systems free of instabilities, J. Nonlinear. Math. Phys 20, 78, (2013) 137. R. Suresh, K. Srinivasan, D. V. Senthilkumar, I. Raja Mohammed, K. Murali, M. Lakshmanan and J. Kurths, Zero-lag synchronization in coupled time-delayed piecewise linear electronic circuits, Eur. phys. J. Special Topics 222, 729 (2013). 138. S. Sabarathinam, K. Thamilmaran, L. Borkowski, P. Perlikowski, A. Stefanski and T. Kapitaniak, Experimental observation of two types of transient chaos in two coupled, dissipatively perturbed Hamiltonian Duffing oscillators, Communication in nonlinear science and numerical simulation, 18, 3098 (2013). 139. S. Zdravkovic, M.V. Sataric and M. Daniel, Kink solitons in DNA, Int. J. Mod. Phys. B, 27, 1350184 (2013).

Books/Books Chapters

1. Symmetries, Differential Equations and Applications: On the Symmetries of a Linard Type Nonlinear Oscillator Equation, R Mohanasubha, V. K. Chandrasekar, M Senthilvelan, M Lakshmanan, 75-103, Springer, Cham (2018). ISBN 978-3-030-01376-9. 2. Matter wave solitons and other localized excitations in Bose-Einstein condensates in atom optics in Odyssey of Light in Nonlinear Optical Fibers: Theory and Applications, P. Muruganandam and M. Lakshmanan, Edited by K. Porsezian and R. Ganapathy, CRC Press) (2015). ISBN 9781138749580 3. Synchronization in coupled nonlinear oscillators: Relevance to neuronal dynamics, Jane H. Sheeba, V. K. Chandrasekar and M . Lakshmanan, to appear in “Concepts and Methods in Modern Theoretical Chemistry Volume II Statistical Mechanics”, Taylor and Francis (2013) ISBN : 9781466506213 4. Nonlinear Dynamics of a Class of Piecewise Linear Systems, M. Lakshmanan and K. Murali, to appear in “Chaos, CNN, Memristors and Beyond”, World Scientific, (285-306), (2013) ISBN: 978-981-4434-79-9 5. Dynamics of Nonlinear Time Delay Systems, M. Lakshmanan and D.V. Senthilkumar, Springer-Verlag (2011) (Series in Synergetics). ISBN: 978-3-642-14938-2 6. Nonlinear Dynamics, M. Daniel and S. Rajasekar, Narosa, New Delhi, (2008) ISBN: 978-81- 7319-941-7. 7. National Conference on Nonlinear Systems and Dynamics-2006 (Proceedings), M. Lakshmanan and R. Sahadevan (Ed.), Allied Publishers, Chennai (2006) ISBN:81-7764-993-0 8. Nonlinear Dynamics: Integrability, Chaos and Spatio-temporal Patterns, M. Lakshmanan and S. Rajasekar, Springer-Verlag (Advanced Texts in Physics) (2003). ISBN: 978-3-642-55688-3 9. Nonlinear Systems, R. Sahadevan and M. Lakshmanan (Ed.), Narosa Publishing House, New Delhi (2002) ISBN: 978-81-7319-456-6. 10. Nonlinear Dynamics: Integrability and Chaos, M. Daniel, K.M. Tamizhmani and R. Sahadevan (Eds.), Narosa, New Delhi (1999) ISBN: 978-81-7319-326-2. 11. Solitons in Science and Engineering: Theory and Applications, M. Lakshmanan (Ed.) Special Issue of the Journal “Chaos, Solitons & Fractals” - Pergamon Vol.5, No. 12 pp. 2213-2639 (1995) 12. Chaos in Nonlinear Oscillators: Controlling and Synchronization, M. Lakshmanan and K. Murali, World Scientific Series on Nonlinear Science, Vol. 13 (World Scientific Singapore 1996) ISBN: 978-981-02-2143-0. 13. Symmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical Systems, M. Lakshmanan and M.Daniel (Eds.) Springer-Verlag, Berlin (1990) ISBN: 978- 3540530923. 14. Nonlinear Evolution Equations: Integrability and spectral Methods, A. Degasperies, A. P. Fordy and M. Lakshmanan (Eds.) Proceedings in Nonlinear Science, Manchester University Press Manchester (1990) ISBN: 978-0719032738. 15. Solitons: Introduction and Applications, M. Lakshmanan (Ed.) Springer series in Nonlinear Dynamics, Springer-Verlag, Berlin (1988) ISBN: 978-3-642-73193-8.