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Author Flunkert, Valentin.

Title Delay-coupled complex systems : and applications to lasers / Valentin Flunkert
Published Berlin ; Heidelberg ; New York : Springer, [2011]
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Description 1 online resource (xiii, 180 pages)
Series Springer Theses
Springer theses.
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
Summary 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
Notes Diss. (Ph. D.)--Technische Universität Berlin
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Nonlinear systems -- Automatic control.
Control theory.
Genre/Form Academic theses.
Form Electronic book
ISBN 9783642202506 (electronic bk.)
3642202500 (electronic bk.)
9783642202490 (print)
3642202497 (print)