Springer Series in Synergetics

Dynamics of Nonlinear Time-Delay Systems

Authors: Lakshmanan, Muthusamy, Senthilkumar, Dharmapuri Vijayan

  • Bridges a gap in the literature by providing an introduction to this specific subfield of chaotic dynamical systems
  • Unique in the thorough presentation on scalar hyperchaotic (up to higher-order) time-delay systems
  • Strives a balance between mathematical treatment and real-world applications
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eBook $89.00
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  • ISBN 978-3-642-14938-2
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  • Immediate eBook download after purchase
Hardcover $124.00
price for USA
  • ISBN 978-3-642-14937-5
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  • Usually dispatched within 3 to 5 business days.
Softcover $124.00
price for USA
  • ISBN 978-3-642-26649-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
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About this book


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 authors

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).

Reviews

From the reviews:

“The main emphasis of this book is on chaotic dynamics and synchronization in delay-differential equations with a particular emphasis on coupled systems. … This book would serve as a good starting point for anyone wanting to explore further the research topics presented. In particular, it is a good introduction to topics and questions in delay-differential equations mostly explored by physicists and the considerable literature in physics journals that has emerged in recent years.” (Pietro-Luciano Buono, Mathematical Reviews, Issue 2012 d)

“The book is well organized and presents the most important classical and modern essentials of chaotic time delay systems and synchronization. It is suitable for senior undergraduate and graduate students as well as practical engineers and researchers interested in dynamics of nonlinear time-delay systems and synchronization.” (Seenith Sivasundaram, Zentralblatt MATH, Vol. 1230, 2012)


Table of contents (12 chapters)

  • Delay Differential Equations

    Lakshmanan, M. (et al.)

    Pages 1-15

  • Linear Stability and Bifurcation Analysis

    Lakshmanan, M. (et al.)

    Pages 17-29

  • Bifurcation and Chaos in Time-Delayed Piecewise Linear Dynamical System

    Lakshmanan, M. (et al.)

    Pages 31-54

  • A Few Other Interesting Chaotic Delay Differential Equations

    Lakshmanan, M. (et al.)

    Pages 55-84

  • Implications of Delay Feedback: Amplitude Death and Other Effects

    Lakshmanan, M. (et al.)

    Pages 85-103

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-3-642-14938-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $124.00
price for USA
  • ISBN 978-3-642-14937-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $124.00
price for USA
  • ISBN 978-3-642-26649-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Dynamics of Nonlinear Time-Delay Systems
Authors
Series Title
Springer Series in Synergetics
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer Berlin Heidelberg
eBook ISBN
978-3-642-14938-2
DOI
10.1007/978-3-642-14938-2
Hardcover ISBN
978-3-642-14937-5
Softcover ISBN
978-3-642-26649-2
Series ISSN
0172-7389
Edition Number
1
Number of Pages
XVII, 313
Topics