Synopses & Reviews
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.
Synopsis
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. The chapters are authored by renowned experts and cover both theory and applications in a wide range of fields.
Table of Contents
Amplitude Death, Synchrony, and Chimera States in Delay Coupled Limit Cycle Oscillators.- Delay-Induced Stability: From Oscillators to Networks.- Delay Effects on Output Feedback Control of Dynamical Systems.- Time-Delayed Feedback Control: From Simple Models to Lasers and Neural Systems.- Finite Propagation Speeds in Spatially Extended Systems.- Stochastic Delay-Differential Equations.- Global Convergent Dynamics of Delayed Neural Networks.- Stability and Hopf Bifurcation for a First-Order Delay Differential Equation With Distributed Delay.- Deterministic Time-Delayed Traffic Flow Models: A Survey.- Index.