Delay-Coupled Complex Systems
and Applications to Lasers
Authors: Flunkert, Valentin
Free Preview- Reports important progress in the control of complex dynamics
- Gives fundamental insights into the interplay of delay and synchronization
- Nominated as an outstanding contribution by the Technical University of Berlin
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- About this book
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This thesis deals with the effects of time-delay in complex nonlinear systems and in particular with its applications in complex networks, and relates it to control theory and nonlinear optics. Delays arise naturally in networks of coupled systems due to finite signal propagation speeds and are thus a key issue in many areas of physics, biology, medicine, and technology. Synchronization phenomena in these networks play an important role, e.g., in the context of learning, cognitive and pathological states in the brain, for secure communication with chaotic lasers or gene regulation. The work includes both novel results on the control of complex dynamics by time-delayed feedback and new fundamental insights into the interplay of delay and synchronization. One of the most interesting results here is a solution to the problem of complete synchronization in general networks with large coupling delay, i.e., large distances between the nodes, by giving a universal classification of networks which has a wide range of interdisciplinary applications.
- Table of contents (16 chapters)
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Introduction
Pages 3-6
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Time-Delayed Feedback Control
Pages 7-10
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Counterexample
Pages 11-25
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Odd-Number Orbits Close to a Fold Bifurcation
Pages 27-34
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Towards Stabilization of Odd-Number Orbits in Experiments
Pages 35-44
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Table of contents (16 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Delay-Coupled Complex Systems
- Book Subtitle
- and Applications to Lasers
- Authors
-
- Valentin Flunkert
- Series Title
- Springer Theses
- Copyright
- 2011
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-642-20250-6
- DOI
- 10.1007/978-3-642-20250-6
- Hardcover ISBN
- 978-3-642-20249-0
- Softcover ISBN
- 978-3-642-26896-0
- Series ISSN
- 2190-5053
- Edition Number
- 1
- Number of Pages
- XIII, 180
- Number of Illustrations
- 56 b/w illustrations, 13 illustrations in colour
- Topics
