Complex Time-Delay Systems

Theory and Applications

  • Fatihcan M. Atay

Part of the Understanding Complex Systems book series (UCS)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Abhijit Sen, Ramana Dodla, George L. Johnston, Gautam C. Sethia
    Pages 1-43
  3. Silviu-Iulian Niculescu, Wim Michiels, Keqin Gu, Chaouki T. Abdallah
    Pages 63-84
  4. Eckehard Schöll, Philipp Hövel, Valentin Flunkert, Markus A. Dahlem
    Pages 85-150
  5. André Longtin
    Pages 177-195
  6. Wenlian Lu, Tianping Chen
    Pages 197-262
  7. Rifat Sipahi, Silviu-Iulian Niculescu
    Pages 297-322
  8. Back Matter
    Pages 323-325

About this book

Introduction

Time delays in dynamical systems arise as an inevitable consequence of finite speeds of information transmission. Realistic models increasingly demand the inclusion of delays in order to properly understand, analyze, design, and control real-life systems.

The goal of this book is to present the state-of-the-art in research on time-delay dynamics in the framework of complex systems and networks. While the mathematical theory of delay equations is quite mature, its application to the particular problems of complex systems and complexity is a newly emerging field, and the present volume aims to play a pioneering role in this perspective.

The chapters in this volume are authored by renowned experts and cover both theory and applications in a wide range of fields, with examples extending from neuroscience and biology to laser physics and vehicle traffic. Furthermore, all chapters include sufficient introductory material and extensive bibliographies, making the book a self-contained reference for both students and active researchers alike.

Keywords

Chimera bifurcation complex system complex systems complexity delayed neural networks stochastic delay-differential equations time-delay systems time-delayed control and feedback

Editors and affiliations

  • Fatihcan M. Atay
    • 1
  1. 1.WissenschaftenMPI für Mathematik in denLeipzigGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-02329-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-02328-6
  • Online ISBN 978-3-642-02329-3
  • Series Print ISSN 1860-0832
  • Series Online ISSN 1860-0840
  • About this book