1 option
Delay-Coupled Complex Systems : and Applications to Lasers / by Valentin Flunkert.
Springer Nature - Springer Physics and Astronomy eBooks 2011 English International Available online
View online- Format:
- Book
- Author/Creator:
- Flunkert, Valentin, Author.
- Series:
- Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
- Language:
- English
- Subjects (All):
- Statistical physics.
- Dynamics.
- Mathematical physics.
- Lasers.
- Photonics.
- Automatic control.
- Complex Systems.
- Theoretical, Mathematical and Computational Physics.
- Optics, Lasers, Photonics, Optical Devices.
- Control and Systems Theory.
- Statistical Physics and Dynamical Systems.
- Local Subjects:
- Complex Systems.
- Theoretical, Mathematical and Computational Physics.
- Optics, Lasers, Photonics, Optical Devices.
- Control and Systems Theory.
- Statistical Physics and Dynamical Systems.
- Physical Description:
- 1 online resource (180 p.)
- Edition:
- 1st ed. 2011.
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
- Language Note:
- English
- 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.
- 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.
- Notes:
- "Doctoral Thesis accepted by Technische Universität Berlin, Germany."
- Includes bibliographical references at the end of each chapters and index.
- ISBN:
- 3-642-20250-0
- OCLC:
- 745003020
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.