Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities
This book is devoted to bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types. That is, those with jumps present either in the right-hand-side or in trajectories or in the arguments of solutions
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Marat Akhmet Ardak Kashkynbayev
Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities
Nonlinear Physical Science
Nonlinear Physical Science Nonlinear Physical Science focuses on recent advances of fundamental theories and principles, analytical and symbolic approaches, as well as computational techniques in nonlinear physical science and nonlinear mathematics with engineering applications. Topics of interest in Nonlinear Physical Science include but are not limited to:
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New findings and discoveries in nonlinear physics and mathematics Nonlinearity, complexity and mathematical structures in nonlinear physics Nonlinear phenomena and observations in nature and engineering Computational methods and theories in complex systems Lie group analysis, new theories and principles in mathematical modeling Stability, bifurcation, chaos and fractals in physical science and engineering Nonlinear chemical and biological physics Discontinuity, synchronization and natural complexity in the physical sciences
Series editors Albert C.J. Luo Department of Mechanical and Industrial Engineering Southern Illinois University Edwardsville Edwardsville, IL 62026-1805, USA e-mail: [email protected]
Nail H. Ibragimov Department of Mathematics and Science Blekinge Institute of Technology S-371 79 Karlskrona, Sweden e-mail: [email protected]
International Advisory Board Ping Ao, University of Washington, USA; Email: [email protected] Jan Awrejcewicz, The Technical University of Lodz, Poland; Email: [email protected] Eugene Benilov, University of Limerick, Ireland; Email: [email protected] Eshel Ben-Jacob, Tel Aviv University, Israel; Email: [email protected] Maurice Courbage, Université Paris 7, France; Email: [email protected] Marian Gidea, Northeastern Illinois University, USA; Email: [email protected] James A. Glazier, Indiana University, USA; Email: [email protected] Shijun Liao, Shanghai Jiaotong University, China; Email: [email protected] Jose Antonio Tenreiro Machado, ISEP-Institute of Engineering of Porto, Portugal; Email: [email protected] Nikolai A. Magnitskii, Russian Academy of Sciences, Russia; Email: [email protected] Josep J. Masdemont, Universitat Politecnica de Catalunya (UPC), Spain; Email: [email protected] Dmitry E. Pelinovsky, McMaster University, Canada; Email: [email protected] Sergey Prants, V.I.Il’ichev Pacific Oceanological Institute of the Russian Academy of Sciences, Russia; Email: [email protected] Victor I. Shrira, Keele University, UK; Email: [email protected] Jian Qiao Sun, University of California, USA; Email: [email protected]
Abdul-Majid Wazwaz, Saint Xavier University, USA; Email: [email protected] Pei Yu, The University of Western Ontario, Canada; Email: [email protected]
More information about this series at http://www.springer.com/series/8389
Marat Akhmet Ardak Kashkynbayev •
Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities
Higher Education Press
123
Ardak Kashkynbayev Departme
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