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.
Author(s): Abhijit Sen, Ramana Dodla, George L. Johnston (auth.), Fatihcan M. Atay (eds.)
Series: Understanding Complex Systems
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2010
Language: English
Pages: 328
Tags: Systems Theory, Control;Statistical Physics, Dynamical Systems and Complexity;Mathematical Biology in General;Information and Communication, Circuits;Game Theory, Economics, Social and Behav. Sciences;Complexity
Front Matter....Pages i-xii
Amplitude Death, Synchrony, and Chimera States in Delay Coupled Limit Cycle Oscillators....Pages 1-43
Delay-Induced Stability: From Oscillators to Networks....Pages 45-62
Delay Effects on Output Feedback Control of Dynamical Systems....Pages 63-84
Time-Delayed Feedback Control: From Simple Models to Lasers and Neural Systems....Pages 85-150
Finite Propagation Speeds in Spatially Extended Systems....Pages 151-176
Stochastic Delay-Differential Equations....Pages 177-195
Global Convergent Dynamics of Delayed Neural Networks....Pages 197-262
Stability and Hopf Bifurcation for a First-Order Delay Differential Equation with Distributed Delay....Pages 263-296
Deterministic Time-Delayed Traffic Flow Models: A Survey....Pages 297-322
Back Matter....Pages 323-325
