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Autor: Marat Akhmet
ISBN-13: 9781489999566
Einband: Previously published in hardcover
Seiten: 188
Gewicht: 293 g
Format: 235x155x10 mm
Sprache: Englisch

Principles of Discontinuous Dynamical Systems

 Previously published in hardcover
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Discontinuous dynamical systems have played an important role in both theory and applications during the last several decades. This is still an area of active research and techniques to make the applications more effective are an ongoing topic of interest. Principles of Discontinuous Dynamical Systems is devoted to the theory of differential equations with variable moments of impulses. It introduces a new strategy of implementing an equivalence to systems whose solutions have prescribed moments of impulses and utilizing special topologies in spaces of piecewise continuous functions. The achievements obtained on the basis of this approach are described in this book. The text progresses systematically, by covering preliminaries in the first four chapters. This is followed by more complex material and special topics such as Hopf bifurcation, Devaney's chaos, and the shadowing property are discussed in the last two chapters.
This book is suitable for researchers and graduate students in mathematics and also in diverse areas such as biology, computer science, and engineering who deal with real world problems.
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Devoted to the theory of variable moment impulse differential equations, this volume sets out a new way of equalizing systems whose solutions have prescribed impulse moments It shows how to use special topologies in spaces of piecewise continuous functions.
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Introduces a new strategy of solving eqations with discontinuous moments
Utilizes special topologies in spaces of piecewise continuous functions
Progresses systematically, begining with preliminaries
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Introduction.- Description of the System with Fixed Moments of Impulses and its Solutions.- Stability and Periodic Solutions of Systems with Fixed Moments of Impulses.- Basics of Linear Systems.- Non-Autonomous Systems with Variable Moments of Impulses.- Differentiability Properties of Non-Autonomous Systems.- Periodic Solutions of Nonlinear Systems.- Discontinuous Dynamical Systems.- Perturbations and Hopf Bifurcation of a Discontinuous Limit Cycle.- Chaos and Shadowing.- Bibliography

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Autor: Marat Akhmet
ISBN-13 :: 9781489999566
ISBN: 1489999566
Erscheinungsjahr: 19.10.2014
Verlag: Springer New York
Gewicht: 293g
Seiten: 188
Sprache: Englisch
Auflage 2010
Sonstiges: Taschenbuch, 235x155x10 mm