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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. Leonov Edgardo Ugalde Department of Mathematical Sciences Department of Mathematics and Mechanics Instituto de Fisica Yeshiva University St-Petersburg State University Universidad Autonoma de San Luis New York, NY 10016, USA 198504, Russia Potosi Fax: +1 212 340 7788 Email: [email protected] Av. Manuel Nava 6, Zona Universitaria Email: [email protected] San Luis Potosi SLP, CP 78290, Mexico Email: [email protected] Juan Luis García Guirao Elbert E.N. Macau Michael A. Zaks Department of Applied Mathematics Laboratory for Applied Mathematics and Institut für Physik Technical University of Cartagena Computing, National Institute for Space Humboldt Universität Berlin Hospital de Marina 30203-Cartagena, SPAIN Research, Av. dos Astronautas, 1758 Newtonstr. 15, 12489 Berlin Fax:+34 968 325694 C. Postal 515 12227-010 - Sao Jose dos Email: [email protected] Email: [email protected] Campos - SP, Brazil Email: [email protected], [email protected] Editorial Board Vadim S. Anishchenko Mokhtar Adda-Bedia Ravi P. Agarwal Department of Physics Laboratoire de Physique Department of Mathematics Saratov State University Ecole Normale Supérieure de Lyon Texas A&M University – Kingsville, Astrakhanskaya 83, 410026, Saratov, Russia 46 Allée d’Italie, 69007 Lyon, France Kingsville, TX 78363-8202, USA Fax: (845-2)-51-4549 Email: [email protected] Email: [email protected] Email: [email protected] Continued on the inside back cover An Interdisciplinary Journal of Discontinuity, Nonlinearity, and Complexity Volume 6, Issue 4, December 2017 Editors Valentin Afraimovich Xavier Leoncini Lev Ostrovsky Dimitry Volchenkov L&H Scientific Publishing, LLC, USA Publication Information Discontinuity, Nonlinearity, and Complexity (ISSN 2164-6376 (print), eISSN 2164-6414 (online)) is published quarterly (March, June, September, and December) by L & H Scientific Publishing, LLC, P.O. Box 99, Glen Carbon, IL62034, USA. 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Discontinuity, Nonlinearity, and Complexity 6(4) (2017) 421–423 Discontinuity, Nonlinearity, and Complexity https://lhscientificpublishing.com/Journals/DNC-Default.aspx Modelling, Analysis and Control of Nonlinear Discrete and Continuous Mechanical Structures Dedicated for Mechatronic Applications Jan Awrejcewicz†, Dariusz Grzelczyk Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski Street, 90-924 Lodz, Poland Submission Info Abstract Communicated by V. Afraimovich This is the Special Issue dedicated to the 13th International Conference on Received 23 January 2016 “Dynamical Systems - Theory and Applications” (DSTA-2015) which was Accepted 27 January 2017 held on December 7-10, 2015 in Ł´od´zPoland. The main aim of the confer- Available online 1 January 2018 ence was to provide a platform for researchers and engineers to present and discuss the current state and contemporary investigations in different dis- ciplines of science, bioscience, and engineering. This issue presents eight Keywords selected manuscripts related to the modeling, analysis and control of non- linear discrete and continuous mechanical structures met in mechatronic Mechatronics applications. Nonlinear dynamics Mechanical engineering ©2017 L&H Scientific Publishing, LLC. All rights reserved. Preface The main aim of the conference was to provide a platform for researchers and engineers to present and discuss the current state and contemporary perspective for modeling, simulation, and control of nonlinear/discontinuous dynamical systems, a rapidly developing research branch including different disciplines of science, bioscience, and engineering. The Scientific Committee of the conference included the following reputable researchers: H. Altenbach – Germany, M. Alves – Brazil, I.V. Andrianov – Germany, J. Awrejcewicz – Chairman, Poland, J.M. Balthazar – Brazil T. Burczy´nki – Poland, Cz. Cempel – Poland, F. Chernousko – Russia, F. Dohnal – Switzerland, V.-F. Duma – Romania, I. Elishakoff – USA M. Feˇcan – Slovakia, N. Ferreira – Portugal, B. Gallacher – UK, O. Gendelman – Israel, O. Gottlieb – Israel, P. Hagedorn – Germany K. (Stevanovi´c) Hedrih – Serbia L. Kolar-Ani´c– Serbia I. Kovaci´c– Serbia, J. Kowal – Poland, J. Kozanek – Czech Republic, P. Krasilnikov – Russia, V.A. Krysko – Russia, W. Lacarbonara – Italy, L.V. Kurpa – Ukraine, C.-H. Lamarque – France, S. Lenci – Italy, G.A. Leonov – Russia, A. Luo – USA, E.
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