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Item Details
Title: DYNAMICS OF NONLINEAR TIME-DELAY SYSTEMS
By: Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar
Format: Hardback

List price: £81.00


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ISBN 10: 3642149375
ISBN 13: 9783642149375
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 5 January, 2011
Edition: 2011 ed.
Series: Springer Series in Synergetics
Pages: 313
Description: Dynamics of Nonlinear Time-Delay Systems presents the fundamentals of chaotic time-delay systems and their synchronization, with an emphasis on the effects of time-delay feedback. Special attention is devoted to scalar chaotic/hyperchaotic time-delay systems, which includes some higher order models.
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 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.
Illustrations: XVII, 313 p.
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Returnable
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