Dynamics of Nonlinear Time-Delay Systems

Dharmapuri Vijayan Senthilkumar

ISBN 10: 3642149375 / ISBN 13: 9783642149375

Published by Springer Berlin Heidelberg, 2011

About this Item

Druck auf Anfrage Neuware - Printed after ordering - Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularlysuitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finiteswitching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant.This monograph presents the basics of chaotic time-delay systems and their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics.Special attention is devoted to scalar chaotic/hyperchaotic time-delaysystems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions.Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basicsand the detailed presentation of real-world applications.

Seller Inventory # 9783642149375

Bibliographic Details

• Title: Dynamics of Nonlinear Time-Delay Systems
• Publisher: Springer Berlin Heidelberg
• Publication Date: 2011
• Language: English
• ISBN 10: 3642149375
• ISBN 13: 9783642149375
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 25D millimeters 241 millimeters width by 160 millimeters height by 25 millimeters depth
• Weight: 725 grams

About this title

Synopsis

Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularly
suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finite
switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant.

This monograph presents the basics of chaotic time-delay systems and their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics.
Special attention is devoted to scalar chaotic/hyperchaotic time-delay
systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions.

Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basics
and the detailed presentation of real-world applications.

About the Author

Previous book by the same author. Nonlinear Dynamics - Integrability, Chaos and Patterns Series: Advanced Texts in Physics Lakshmanan, Muthusamy, Rajaseekar, Shanmuganathan 2003, XX, 619 p. 193 illus., Hardcover ISBN: 978-3-540-43908-0 Usually dispatched between 3 to 5 business days 159,95 € (original price unknown) Approx sales figures: 434 (ROW) + 200 (US).