Titlebook: Dynamics of Nonlinear Time-Delay Systems; Muthusamy Lakshmanan,Dharmapuri Vijayan Senthilkum Book 2011 Springer Berlin Heidelberg 2011 cha

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A Few Other Interesting Chaotic Delay Differential Equations,select different values (sufficiently large) for the delay time τ to generate high-dimensional chaotic signals. Hence, in recent times DDEs have received increased attention in the nonlinear dynamics literature due to the possibility of generating more complex and high-dimensional chaotic attractors

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Implications of Delay Feedback: Amplitude Death and Other Effects,tion is physically justified and in all the cases it simplifies the mathematics. However, in recent times one has witnessed increased activities to investigate oscillator systems withdelay feedback and it has been proved that delay feedback is a veritable black box which can give rise to several int

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Recent Developments on Delay Feedback/Coupling: Complex Networks, Chimeras, Globally Clustered Chimnted out in earlier chapters. The study of time-delay induced modifications in the collective behavior of systems of coupled nonlinear oscillators is a topic of much current interest both for its fundamental significance from a dynamical systems point of view and for its practical applications.

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Complete Synchronization of Chaotic Oscillations in Coupled Time-Delay Systems,dulum clocks, hanging from the same beam, becomeanti-phase synchronized [1]. Since the early identification of synchronization in coupled chaotic oscillators [2–4], the phenomenon has attracted considerable research activity in different areas of science, and several generalizations and interesting

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Transition from Anticipatory to Lag Synchronization via Complete Synchronization,tional coupling between them and having two different time-delays: one in the coupling term and the other in the individual systems, namely feedback delay. We deduce [1] the corresponding stability condition for synchronization following Krasovskii-Lyapunov theory as in the previous chapter for comp

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Intermittency Transition to Generalized Synchronization,ually introduced in [1]. Generalized synchronization is observed in coupled nonidentical systems, where there exists some functional relationship between the drive . and the response . systems, that is, .. With GS, all the response systems coupled to the drive lose their intrinsic chaoticity (sensit

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DTM Induced Oscillating Synchronization,ion of time. The notion oftime dependent delay (TDD) withstochastic orchaotic modulation in time-delay systems was introduced by Kye et al. [1] to understand the behaviour of dynamical systems with time dependent topology. They have reported that in a time-delay system with TDD, the reconstructedpha