Principles of Discontinuous Dynamical Systems

  • Marat Akhmet

Table of contents

  1. Front Matter
    Pages i-xi
  2. Marat Akhmet
    Pages 1-6
  3. Marat Akhmet
    Pages 31-54
  4. Marat Akhmet
    Pages 99-111
  5. Marat Akhmet
    Pages 113-137
  6. Marat Akhmet
    Pages 155-165
  7. Back Matter
    Pages 167-176

About this book

Introduction

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.

Keywords

bifurcation biology computer computer science differential equation dynamical systems equation function functions mathematics online perturbation theory stability techniques variable

Authors and affiliations

  • Marat Akhmet
    • 1
  1. 1.Dept. MathematicsMiddle East Technical University (METU)AnkaraTurkey

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-6581-3
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-6580-6
  • Online ISBN 978-1-4419-6581-3
  • About this book