Dynamics of Nonlinear Time-Delay Systems (Springer Series in Synergetics) - Hardcover

Lakshmanan, Muthusamy; Senthilkumar, Dharmapuri Vijayan

Hardcover

ISBN 10: 3642149375 ISBN 13: 9783642149375

Publisher: Springer, 2011

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 this title

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).

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2011
• Language: English
• ISBN 10: 3642149375
• ISBN 13: 9783642149375
• Binding: Hardcover
• Number of pages: 330