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Other titles in the Springer Theses series:

Delay-Coupled Complex Systems: And Applications to Lasers (Springer Theses)

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Delay-Coupled Complex Systems: And Applications to Lasers (Springer Theses) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This work addresses time-delay in complex nonlinear systems and its applications in complex networks as well as investigates its role in control theory and nonlinear optics.

Table of Contents

Stabilization of Odd-Number Orbits.- Time Delayed Feedback Control.- Counterexample.- Odd-Number Orbits Close to a Fold Bifurcation.- Towards Stabilization of Odd-Number Orbits in Experiments.- Stabilization with Symmetric Feedback Matrices.- Application to Laser Systems.- Stabilization of Anti-Phase Orbits.- Synchronization of Delay Coupled Systems.- Structure of the Master Stability Function for Large Delay.- Lang Kobayashi Laser Equations.- Necessary Conditions for Synchronization of Lasers.- Bubbling.- Summary and Conclusions.- Appendix.- Index.

Product Details

ISBN:
9783642202490
Author:
Flunkert, Valentin
Publisher:
Springer
Location:
Berlin, Heidelberg
Subject:
Physics
Subject:
complex networks
Subject:
Control theory
Subject:
Delay coupling
Subject:
Nonlinear optics
Subject:
Nonlinear Dynamics.
Subject:
Prize winning thesis
Subject:
Secure Communication
Subject:
Synchronization of Lasers
Subject:
Synchronization phenomena
Subject:
Time delayed feedback
Subject:
Statistical Physics, Dynamical Systems and Complexity
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Laser Technology, Photonics
Subject:
Control
Subject:
Control <p>Reports important progress in the control of complex dynamics </p><p>Gives fundamental insights into the interplay of delay and synchronization </p><p>Nominated as an outstanding contribution by the Technical University of Berlin</p>
Subject:
Science Reference-Technology
Subject:
B
Subject:
Physics and Astronomy
Copyright:
Edition Description:
2011
Series:
Springer Theses
Publication Date:
20110728
Binding:
HARDCOVER
Language:
English
Pages:
200
Dimensions:
235 x 155 mm

Related Subjects


Reference » Science Reference » Technology
Science and Mathematics » Physics » Laser Technology
Science and Mathematics » Physics » Math

Delay-Coupled Complex Systems: And Applications to Lasers (Springer Theses) New Hardcover
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Product details 200 pages Springer - English 9783642202490 Reviews:
"Synopsis" by , This work addresses time-delay in complex nonlinear systems and its applications in complex networks as well as investigates its role in control theory and nonlinear optics.
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