Subject: Nonlinear Sciences - Adaptation and Self-Organizing Systems
Subject: Nonlinear Sciences - Adaptation and Self-Organizing Systems
Year: 2017
Type: Article
Title: Control of amplitude chimeras by time delay in oscillator networks
Author: Gjurchinovski, Aleksandar
Author: Schöll, Eckehard
Author: Zakharova, Anna
Abstract: We investigate the influence of time-delayed coupling in a ring network of nonlocally coupled Stuart-Landau oscillators upon chimera states, i.e., space-time patterns with coexisting partially coherent and partially incoherent domains. We focus on amplitude chimeras, which exhibit incoherent behavior with respect to the amplitude rather than the phase and are transient patterns, and we show that their lifetime can be significantly enhanced by coupling delay. To characterize their transition to phase-lag synchronization (coherent traveling waves) and other coherent structures, we generalize the Kuramoto order parameter. Contrasting the results for instantaneous coupling with those for constant coupling delay, for time-varying delay, and for distributed-delay coupling, we demonstrate that the lifetime of amplitude chimera states and related partially incoherent states can be controlled, i.e., deliberately reduced or increased, depending upon the type of coupling delay.
Publisher:
Relation: Physical Review E
Identifier: oai:repository.ukim.mk:20.500.12188/10991
Identifier: http://hdl.handle.net/20.500.12188/10991Identifier: 10.1103/PhysRevE.95.042218
Identifier: 95
Identifier: 4-1
