Dynamics of Nonlinear Time-Delay Systems

• Main Authors: Lakshmanan, Muthusamy (Author), Senthilkumar, Dharmapuri Vijayan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
• Series: Springer Series in Synergetics,
• Subjects: Physics.; System theory.; Statistical physics.; Applied mathematics.; Engineering mathematics.; Vibration.; Dynamical systems.; Dynamics.; Electronic circuits.; Nonlinear Dynamics.; Vibration, Dynamical Systems, Control.; Systems Theory, Control.; Appl.Mathematics/Computational Methods of Engineering.; Complex Networks.; Circuits and Systems.

Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations ha...

Table of Contents:

• Delay Differential Equations
• Linear Stability and Bifurcation Analysis
• Bifurcation and Chaos in Time-delayed Piecewise Linear
• A Few Other Interesting Chaotic Delay Differential Equations
• Implications of Delay Feebdack: Amplitude Death and Other Effects
• Recent Developments on Delay Feedback/Coupling: Complex
• Complete Synchronization in Coupled Time-delay Systems
• Transition from Anticipatory to Lag Synchronization via Complete
• Intermittency Transition to Generalized Snychronization
• Transition from Phase to Generalized Synchronization
• DTM Induced Oscillating Synchronization
• Exact Solutions of Certain Time Delay Systems: The Car-following Models
• A Computing Lyapunov Exponents for Time-delay systems
• B A Brief Introduction to Synchronization in Chaotic Dynamical Systems
• C Recurrence Analysis
• References
• Glossary
• Index.