Delay-coupled complex systems: and applications to lasers

by Flunkert, Valentin

Type Book

Rate 0.0 /5

Details

Files

Reviews

Download

Title Statements

Full title :Delay-coupled complex systems : and applications to lasers / Valentin Flunkert.

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.

Edition Statements

Publication Date:©2011.

Publication Statements

Publisher(s):Springer
Place of Publication:Berlin
Language:eng
Publication Date:©2011.

Notes

Print version record.

The Physical Object

Description:1 online resource (xiii, 180 pages).

Edition Identifiers

ISBN:9783642202506, 3642202500, 9783642202490, 3642202497
DOI:10.1007/978-3-642-20250-6
oclc:ocn905279941
Dewey Decimal:629.8/36

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.

Subjects

Astronomie Computer Science Control theory Nonlinear systems -- Automatic control Physique Systèmes non linéaires -- Commande auto… Théorie de la commande