Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities - Couverture souple
Livre 5 sur 14: Nonlinear Physical Science
Synopsis
This book focuses on bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types - those with jumps present either in the right-hand side, or in trajectories or in the arguments of solutions of equations. The results obtained can be applied to various fields, such as neural networks, brain dynamics, mechanical systems, weather phenomena and population dynamics. Developing bifurcation theory for various types of differential equations, the book is pioneering in the field. It presents the latest results and provides a practical guide to applying the theory to differential equations with various types of discontinuity. Moreover, it offers new ways to analyze nonautonomous bifurcation scenarios in these equations. As such, it shows undergraduate and graduate students how bifurcation theory can be developed not only for discrete and continuous systems, but also for those that combine these systems in very different ways. At the same time, it offers specialists several powerful instruments developed for the theory of discontinuous dynamical systems with variable moments of impact, differential equations with piecewise constant arguments of generalized type and Filippov systems.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
1) Prof. Dr. Marat Akhmet is a member of the Department of Mathematics, Middle East Technical University, Turkey. He is a specialist in dynamical models, bifurcation theory, chaos theory and differential equations. He has spent several years investigating the dynamics of neural networks, economic models and mechanical systems. He has published 4 books on different topics of dynamical systems.
2) Dr. Ardak Kashkynbayev obtained his PhD from the Department of Mathematics, Middle East Technical University, Turkey. His research focuses on differential equations, bifurcation theory, chaos theory and applications to mechanical systems.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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ISBN 10 : 9811098093
ISBN 13 : 9789811098093
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ISBN 10 : 9811098093
ISBN 13 : 9789811098093
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Springer Nature Singapore, Springer Nature Singapore Jul 2018, 2018
ISBN 10 : 9811098093
ISBN 13 : 9789811098093
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Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities
Edité par
Springer Nature Singapore, Springer Nature Singapore, 2018
ISBN 10 : 9811098093
ISBN 13 : 9789811098093
Neuf
Taschenbuch
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