Exogenous Versus Endogenous for Chaotic Business Cycles
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Russian Academy of Sciences Institute of Applied Physics International Symposium TTOOPPIICCAALL PPRROOBBLLEEMMSS OOFF NNOONNLLIINNEEAARR WWAAVVEE PPHHYYSSIICCSS 22 – 28 July, 2017 Moscow – St. Petersburg, Russia P R O C E E D I N G S Nizhny Novgorod, 2017 NWP-1: Nonlinear Dynamics and Complexity NWP-2: Lasers with High Peak and High Average Power NWP-3: Nonlinear Phenomena in the Atmosphere and Ocean WORKSHOP: Magnetic Fields in Laboratory High Energy Density Plasmas (LaB) CREMLIN WORKSHOP: Key Technological Issues in Construction and Exploitation of 100 Pw Lass Lasers Board of Chairs Henrik Dijkstra, Utrecht University, The Netherlands Alexander Feigin, Institute of Applied Physics RAS, Russia Julien Fuchs, CNRS, Ecole Polytechnique, France Efim Khazanov, Institute of Applied Physics RAS, Russia Juergen Kurths, Potsdam Institute for Climate Impact Research, Germany Albert Luo, Southern Illinois University, USA Evgeny Mareev, Institute of Applied Physics RAS, Russia Catalin Miron, Extreme Light Infrastructure, Romania Vladimir Nekorkin, Institute of Applied Physics RAS, Russia Vladimir Rakov, University of Florida, USA Alexander Sergeev, Institute of Applied Physics RAS, Russia Ken-ichi Ueda, Institute for Laser Science, the University of Electro-Communications, Japan Symposium Web site: http://www.nwp.sci-nnov.ru Organized by Institute of Applied Physics of the Russian Academy of Sciences www.iapras.ru GYCOM Ltd www.gycom.ru International Center for Advanced Studies in Nizhny Novgorod (INCAS) www.incas.iapras.ru Supported by www.avesta.ru www.lasercomponents.ru www.coherent.com www.lasertrack.ru www.thalesgroup.com www.standa.lt www.phcloud.ru www.epj.org The electron version of the NWP-2017 Symposium materials was prepared at the Institute of Applied Physics of the Russian Academy of Sciences, 46 Ulyanov Str., 603950 Nizhny Novgorod, Russia CONTENTS PLENARY TALKS J.-C. -
Nonlinear Dynamics - 2016” Conference
ISSN 2410-2547. Опір матеріалів і теорія споруд. 2016. № 97 3 UDC 539.3 “NONLINEAR DYNAMICS - 2016” CONFERENCE V.A. Bazhenov1 Doctor of Technical Sciences, Professor, Academician of the Ukraine National Academy of Pedagogical Sciences O.S. Pogorelova1 Candidate of Physico-mathematical Sciences, Senior Research Officer, Senior Research Officer T.G. Postnikova1 Candidate of Engineering Sciences, Senior Research Officer, Senior Research Officer 1Кyiv National University of Construction and Architecture There is short description of problem state on nonlinear dynamics in this paper. Information about some contemporary journals and recent Conferences on this subject is given. Information about 5th International Conference on Nonlinear Dynamics which was holding in National Technical University “Kharkov Polytechnic Institute” in September 2016 and impression about it are presented. The questions that were discussed at this conference are in domain of our special interests. Dynamic behaviour of non-smooth systems with discontinuous right-hand side is the main contemporary question. Many new phenomena unique to non-smooth systems are observed under variation of system parameters. Such nonlinear problems are arising in many different domains of science and engineering, for example in mechanics, physics, radio technique, biology, chemistry, economics, ecology, sociology, and so on. The investigations of nonlinear dynamics problems in general and very complex phenomenon of chaos in particular were begun quite recently – only in the end of 20-th century. Vibroimpact system is one example of nonlinear systems. It is strongly nonlinear non-smooth discontinuous system because the set of its motion differential equations contains the discontinuous right-hand side. The bifurcations of different kind occur in vibroimpact system under system parameter variation. -
Discontinuity, Nonlinearity, and Complexity
Volume 6 ISSN 2164‐6376 (print) Issue 4 ISSN 2164‐6414 (online) December 2017 An Interdisciplinary Journal of Discontinuity, Nonlinearity, and Complexity Discontinuity, Nonlinearity, and Complexity Editors Valentin Afraimovich Lev Ostrovsky San Luis Potosi University, IICO-UASLP, Av.Karakorum 1470 University of Colorado, Boulder, and Lomas 4a Seccion, San Luis Potosi, SLP 78210, Mexico University of North Carolina, Chapel Hill, USA Fax: +52 444 825 0198 Email: [email protected] Email: [email protected] Xavier Leoncini Dimitri Volchenkov Centre de Physique Théorique, Aix-Marseille Université, CPT Mathematics & Statistics, Texas Tech University, 1108 Memorial Campus de Luminy, Case 907 Circle, Lubbock, TX 79409, USA & Sichuan University of 13288 Marseille Cedex 9, France Science and Engineering, Sichuan, Zigong 643000, China Fax: +33 4 91 26 95 53 Email: [email protected] Email: [email protected] Associate Editors Marat Akhmet Ranis N. Ibragimov J. A. Tenreiro Machado Department of Mathematics Department of Mathematics and Physics Institute of Engineering, Polytechnic of Middle East Technical University University of Wisconsin-Parkside Porto, Dept. of Electrical Engineering, 06531 Ankara, Turkey 900 Wood Rd, Kenosha, WI 53144 Rua Dr. Antonio Bernardino de Almeida, Fax: +90 312 210 2972 Tel: 1(262) 595-2517 431, 4249-015 Porto, Portugal Email: [email protected] Email: [email protected] Fax: 351-22-8321159 Email: [email protected] Dumitru Baleanu Alexander N. Pisarchik Josep J. Masdemont Department of Mathematics Center for Biomedical Technology Department of Mathematics. Universitat Cankaya University, Balgat Technical University of Madrid Politecnica de Catalunya. 06530 Ankara, Turkey Campus Montegancedo Diagonal 647 (ETSEIB,UPC) Email: [email protected] 28223 Pozuelo de Alarcon, Madrid, Spain Email: [email protected] E-mail: [email protected] Marian Gidea Gennady A. -
Final Program
Final Program Held jointly with the SIAM Workshop on Network Science (NS19) Sponsored by the SIAM Activity Group on Dynamical Systems This activity group provides a forum for the exchange of ideas and information between mathematicians and applied scientists whose work involves dynamical systems. The goal of this group is to facilitate the development and application of new theory and methods of dynamical systems. The techniques in this area are making major contributions in many areas, including biology, nonlinear optics, fluids, chemistry, and mechanics. SIAM Events Mobile App Scan the QR code with any QR reader and download the TripBuilder EventMobile™ app to your iPhone, iPad, iTouch or Android mobile device. You can also visit http://www.tripbuildermedia.com/apps/siamevents Society for Industrial and Applied Mathematics 3600 Market Street, 6th Floor Philadelphia, PA 19104-2688 U.S. Telephone: +1-215-382-9800 Fax: +1-215-386-7999 Conference E-mail: [email protected] • Conference Web: www.siam.org/meetings/ Membership and Customer Service: (800) 447-7426 (U.S. & Canada) or +1-215-382-9800 (worldwide) https://www.siam.org/conferences/CM/Main/ds19 https://www.siam.org/conferences/CM/Main/ns19 2 SIAM Conference on Dynamical Systems and SIAM Workshop on Network Science Table of Contents Conference Themes Hotel Check-in and Program-At-A-Glance… The scope of this conference encompasses Check-out Times ..........................See separate handout theoretical, computational and experimental Check-in time is 4:00 p.m. research on dynamical -
Modern Theory of Dynamical Systems a Tribute to Dmitry Victorovich Anosov
692 Modern Theory of Dynamical Systems A Tribute to Dmitry Victorovich Anosov Anatole Katok Yakov Pesin Federico Rodriguez Hertz Editors American Mathematical Society Modern Theory of Dynamical Systems A Tribute to Dmitry Victorovich Anosov Anatole Katok Yakov Pesin Federico Rodriguez Hertz Editors 692 Modern Theory of Dynamical Systems A Tribute to Dmitry Victorovich Anosov Anatole Katok Yakov Pesin Federico Rodriguez Hertz Editors American Mathematical Society Providence, Rhode Island EDITORIAL COMMITTEE Dennis DeTurck, Managing Editor Michael Loss Kailash Misra Catherine Yan 2010 Mathematics Subject Classification. Primary 37Bxx, 37Cxx, 37Dxx, 37Exx, 37Gxx, 37Jxx. Library of Congress Cataloging-in-Publication Data Names: Katok, A. B., editor. | Pesin, Ya. B., editor. | Rodriguez Hertz, Federico, 1973- editor. Title: Modern theory of dynamical systems : a tribute to Dmitry Victorovich Anosov / Anatole Katok, Yakov Pesin, Federico Rodriguez Hertz, editors. Description: Providence, Rhode Island : American Mathematical Society, [2017] — Series: Con- temporary mathematics ; volume 692 | Includes bibliographical references. Identifiers: LCCN 2016052689 | ISBN 9781470425609 (alk. paper) Subjects: LCSH: Anosov, D. V. | Differentiable dynamical systems. | Hyperbolic spaces. | Bound- ary value problems. | AMS: Dynamical systems and ergodic theory – Topological dynamics – Topological dynamics. msc | Dynamical systems and ergodic theory – Smooth dynamical systems: general theory – Smooth dynamical systems: general theory. msc | Dynamical sys- tems -
LEONID PAVLOVICH SHILNIKOV Memorial Volume
LEONID PAVLOVICH SHILNIKOV Memorial Volume This special issue of the journal presents a selection of the proceeding papers of the conference “Dynamics, Bifurcations and Strange Attractors” dedicated to the memory of Leonid Pavlovich Shilnikov (1934–2011) to commemorate his contribution to the theory of dynamical systems and bifurcations. The conference was held at Nizhny Novgorod State University, Russia, on July 1–5, 2013. The conference was attended by 155 partic- ipants from all over the world, who contributed to the threefocal topics of the conference: Bi- furcations and strange attractors; Dynamical systems with additional structures (Hamil- tonian, time-reversible, etc.); Applications of dynamical systems. The topics were chosen to concur with the pivotal contributions by L.P.Shilnikov to the fields. The speakers pre- sented on their current research and outlined future directions in the theory and frontier applications. The organizers of the conference are grate- ful to its sponsors: Russian Foundation of Basic Research, D. Zimin’s Russian Charitable Foundation “Dynasty”, R&D company Mera- NN, and K. V. Kirsenko (Russia), as well as Office of Naval Research, London (UK). Leonid Pavlovich Shilnikov was a creator of the theory of homoclinic bifurcations and afounderofthetheoryofstrangeattractors. Several decades of his continuous, pioneering work on global bifurcations and strange at- tractors helped to turn Chaos Theory into amathematicalmarvel.Thebeautifulrigor and ultimate transparency of Shilnikov’s find- ings have allowed other researchers to use his mathematically sound theorems and develop methods for solving other problems, theoreti- cal and applied, including the understanding of complex outcomes of natural experiments. His works continue to propel forward the further development of the qualitative theory of dynamical systems, and nonlinear dynamics in a whole. -
Amsip028-Endmatter.Pdf
Lectures on Chaotic Dynamical System s This page intentionally left blank https://doi.org/10.1090/amsip/028 AMS/IP Studies in Advanced Mathematics Volume 28 Lectures on Chaotic Dynamical System s Valentin Afraimovich and Sze-Bi Hsu American Mathematical Society • International Press Shing-Tung Yau , Genera l Edito r 2000 Mathematics Subject Classification. Primar y 37-XX . Library o f Congres s Cataloging-in-Publicatio n Dat a Afraimovich, V . S . (Valenti n Senderovich ) Lectures o n chaoti c dynamica l system s / Valenti n Afraimovic h an d Sze-B i Hsu . p. cm . — (AMS/I P studie s i n advance d mathematics , ISS N 1089-328 8 ; v. 28 ) Includes bibliographica l reference s an d index . ISBN 0-8218-3168- 2 (alk . paper ) 1. Differentiabl e dynamica l systems . 2 . Chaoti c behavio r i n systems . I . Hsu , Sze-Bi , 1948 - II. Title . III . Series . QA614.8.A385 200 2 514/.74—dc21 2002074423 Copying an d reprinting . Individua l reader s o f thi s publication , an d nonprofi t librarie s acting fo r them , ar e permitted t o mak e fai r us e o f the material , suc h a s to cop y a chapter fo r us e in teachin g o r research . Permissio n i s grante d t o quot e brie f passage s fro m thi s publicatio n i n reviews, provide d th e customar y acknowledgmen t o f the sourc e i s given . Republication, systemati c copying , o r multiple reproduction o f any material i n this publicatio n is permitte d onl y unde r licens e fro m th e America n Mathematica l Society .