书目名称 | Principles of Discontinuous Dynamical Systems |
编辑 | Marat Akhmet |
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概述 | 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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描述 | 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 ofdifferential 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 inmathematics and also in diverse areas such as biology, computer science, and engineering who deal with real world problems. |
出版日期 | Book 2010 |
关键词 | bifurcation; biology; computer; computer science; differential equation; dynamical systems; equation; funct |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4419-6581-3 |
isbn_softcover | 978-1-4899-9956-6 |
isbn_ebook | 978-1-4419-6581-3 |
copyright | Springer Science+Business Media, LLC 2010 |