Transition to amplitude death in scale-free networks

Abstract

Transition to amplitude death in scale-free networks of nonlinear oscillators is investigated. As the coupling strength increases, the network will undergo three stages in approaching to the state of complete amplitude death. The first stage is featured by a \emph{"stair-like"} distribution of the node amplitude, and the transition is accomplished by a \emph{hierarchical death} of the amplitude stairs. The second and third stages are characterized by, respectively, a continuing elimination of the synchronous clusters and a fast death of the non-synchronized nodes.

4 pages, 4 figures

References in corpus (4)

• Distributed Delays Facilitate Amplitude Death of Coupled Oscillators
• Enhancing complex-network synchronization
• Total and partial amplitude death in networks of diffusively coupled oscillators
• Diffusion-induced instability and chaos in random oscillator networks

Cited by in corpus (8)

• Amplitude Death: The emergence of stationarity in coupled nonlinear systems
• Amplitude death in complex networks induced by environment
• Explosive oscillation death in coupled Stuart-Landau oscillators
• Turing instabilities from a limit cycle
• Exceptional points in coupled dissipative dynamical systems
• Master Stability Islands for Amplitude Death in Networks of Delay-Coupled Oscillators
• Effects of gradient coupling on amplitude death in nonidentical oscillators
• Amplitude death in a ring of nonidentical nonlinear oscillators with unidirectional coupling