Skip to main content
SpringerLink
Log in
Book cover

Principles of Discontinuous Dynamical Systems

  • Book
  • © 2010

Overview

Authors:
  1. Marat Akhmet

    1. Dept. Mathematics, Middle East Technical University (METU), Ankara, Turkey

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Introduces a new strategy of solving eqations with discontinuous moments

  • Utilizes special topologies in spaces of piecewise continuous functions

  • Progresses systematically, begining with preliminaries

  • Includes supplementary material: sn.pub/extras

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Introduction

    • Marat Akhmet
    Pages 1-6

  3. Description of the System with Fixed Moments of Impulses and Its Solutions

    • Marat Akhmet
    Pages 7-24

  4. Stability and Periodic Solutions of Systems with Fixed Moments of Impulses

    • Marat Akhmet
    Pages 25-30

  5. Basics of Linear Systems

    • Marat Akhmet
    Pages 31-54

  6. Nonautonomous Systems with Variable Moments of Impulses

    • Marat Akhmet
    Pages 55-80

  7. Differentiability Properties of Nonautonomous Systems

    • Marat Akhmet
    Pages 81-98

  8. Periodic Solutions of Nonlinear Systems

    • Marat Akhmet
    Pages 99-111

  9. Discontinuous Dynamical Systems

    • Marat Akhmet
    Pages 113-137

  10. Perturbations and Hopf Bifurcation of a Discontinuous Limit Cycle

    • Marat Akhmet
    Pages 139-154

  11. Chaos and Shadowing

    • Marat Akhmet
    Pages 155-165

  12. Back Matter

    Pages 167-176
    Download chapter PDF
Back to top

Keywords

About this book

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.

Authors and Affiliations

  • Dept. Mathematics, Middle East Technical University (METU), Ankara, Turkey

    Marat Akhmet

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation