Delay-Coupled Complex Systems and Applications to Lasers /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Flunkert, Valentin (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Springer Theses, Recognizing Outstanding Ph.D. Research,
Temas:
System theory.
Mathematical physics.
Lasers.
Control engineering.
Complex Systems.
Theoretical, Mathematical and Computational Physics.
Laser.
Control and Systems Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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