Amplitude death in coupled chaotic oscillators

Abstract

Amplitude death can occur in chaotic dynamical systems with time-delay coupling, similar to the case of coupled limit cycles. The coupling leads to stabilization of fixed points of the subsystems. This phenomenon is quite general, and occurs for identical as well as nonidentical coupled chaotic systems. Using the Lorenz and Rössler chaotic oscillators to construct representative systems, various possible transitions from chaotic dynamics to fixed points are discussed.

To be published in PRE

References in corpus (6)

• Time Delay Induced Death in Coupled Limit Cycle Oscillators
• Distributed Delays Facilitate Amplitude Death of Coupled Oscillators
• Experimental Evidence of Time Delay Induced Death in Coupled Limit Cycle Oscillators
• Time Delay Effects on Coupled Limit Cycle Oscillators at Hopf Bifurcation
• Phaselocked patterns and amplitude death in a ring of delay coupled limit cycle oscillators
• Dynamics of a Limit Cycle Oscillator under Time Delayed Linear and Nonlinear Feedbacks

Cited by in corpus (20)

• Amplitude Death: The emergence of stationarity in coupled nonlinear systems
• Coupling functions: Universal insights into dynamical interaction mechanisms
• General mechanism for amplitude death in coupled systems
• Transition from amplitude to oscillation death under mean-field diffusive coupling
• Amplitude death in complex networks induced by environment
• Experimental observation of a transition from amplitude to oscillation death in coupled oscillators
• Amplitude and phase dynamics in oscillators with distributed-delay coupling
• Universal occurrence of mixed-synchronization in counter-rotating nonlinear coupled oscillators
• Transitions among the diverse oscillation quenching states induced by the interplay of direct and indirect coupling
• Amplitude death and synchronized states in nonlinear time-delay systems coupled through mean-field diffusion
• Anticipatory synchronization with variable time delay and reset
• Conjugate coupling induced symmetry breaking and quenched oscillations
• Occasional coupling enhances amplitude death in delay-coupled oscillators
• Master Stability Islands for Amplitude Death in Networks of Delay-Coupled Oscillators
• Enhancement of photon intensity in forced coupled quantum wells inside a semiconductor microcavity
• Amplitude death in networks of delay-coupled delay oscillators
• Zero delay synchronization of chaos in coupled map lattices
• Amplitude death phenomena in delay--coupled Hamiltonian systems
• Dynamics of coupled modified Rossler oscillators: the role of nonisochronicity parameter
• Effects of periodically modulated coupling on amplitude death in nonidentical oscillators