ENGLISH

Principles of Discontinuous Dynamical Systems

By Marat Akhmet (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2010
ISBN
1441965807, 9781441965806, 9781441965813
DOI
10.1007/978-1-4419-6581-3
Language
english
Format
PDF
Filesize
1 MB (1347707 bytes)
Edition
1
Pages
176\189
Time added
2011-06-04 13:46:07
Dynamical Systems and Ergodic Theory; Ordinary Dif

Description

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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