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Delay-Coupled Complex Systems - Valentin Flunkert

Delay-Coupled Complex Systems

and Applications to Lasers
Buch | Softcover
XIII, 180 Seiten
2013 | 2011
Springer Berlin (Verlag)
978-3-642-26896-0 (ISBN)
CHF 74,85 inkl. MwSt
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.

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.

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.

Erscheint lt. Verlag 3.8.2013
Reihe/Serie Springer Theses
Zusatzinfo XIII, 180 p. 69 illus., 13 illus. in color.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 308 g
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Naturwissenschaften Physik / Astronomie Theoretische Physik
Naturwissenschaften Physik / Astronomie Thermodynamik
Schlagworte complex networks • Control Theory • Delay coupling • Nonlinear Dynamics • Non-linear optics • prizewinning thesis • secure communication • Synchronization of Lasers • Synchronization phenomena • Time-delayed feedback
ISBN-10 3-642-26896-X / 364226896X
ISBN-13 978-3-642-26896-0 / 9783642268960
Zustand Neuware
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