Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities

Name: Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities
SKU: 26252149
Price: 152.00 NZD
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Hardback

Series:

Nonlinear Physical Science

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Description

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.

Author Biography:

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.

Release date NZ

January 31st, 2017

Author

Audience

Professional & Vocational

Edition

1st ed. 2017

Illustrations

26 Illustrations, color; 5 Illustrations, black and white; XI, 166 p. 31 illus., 26 illus. in color.

Pages

166

Series

Nonlinear Physical Science

Dimensions

155x235x11

ISBN-13

9789811031793

Product ID

26252149

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