Delay-Coupled Complex Systems and Applications to Lasers /

• Main Author: Flunkert, Valentin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: Springer Theses
• Subjects: Physics.; Lasers.; Photonics.; Statistical physics.; Dynamical systems.; Control engineering.; Statistical Physics, Dynamical Systems and Complexity.; Theoretical, Mathematical and Computational Physics.; Laser Technology, Photonics.; Control.

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...

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.