Delay-Coupled Complex Systems
and Applications to Lasers
(Sprache: Englisch)
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. It offers fundamental insights into the interplay of delay and synchronization.
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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. It offers fundamental insights into the interplay of delay and synchronization.
Klappentext zu „Delay-Coupled Complex Systems “
This work addresses time-delay in complex nonlinear systems and, in particular, its applications in complex networks; its role in control theory and nonlinear optics are also investigated. 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 for gene regulation. The thesis includes both novel results on the control of complex dynamics by time-delayed feedback and fundamental new 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 that has a wide range of interdisciplinary applications.
Inhaltsverzeichnis zu „Delay-Coupled Complex Systems “
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.
Bibliographische Angaben
- Autor: Valentin Flunkert
- 2013, Repr. d. Ausg. v. 2011, XIII, 180 Seiten, 13 farbige Abbildungen, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 364226896X
- ISBN-13: 9783642268960
Sprache:
Englisch
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