Phase-flip chimera induced by environmental nonlocal coupling

TL;DR

This paper introduces the phase-flip chimera state in coupled nonlinear oscillators influenced by a nonlocal environment, highlighting its unique emergence after synchronization and its distinct coexistence of out-of-phase domains.

Contribution

The study reports the first observation of phase-flip chimera states induced by environmental nonlocal coupling, expanding understanding of complex dynamical states in oscillator ensembles.

Findings

Phase-flip chimera features coexistence of out-of-phase synchronized domains.

Emerges after complete synchronization, unlike conventional chimeras.

Characterized using strength of incoherence and master stability function.

Abstract

We report the emergence of a collective dynamical state, namely phase-flip chimera, from an en- semble of identical nonlinear oscillators that are coupled indirectly via the dynamical variables from a common environment, which in turn are nonlocally coupled. The phase-flip chimera is character- ized by the coexistence of two adjacent out-of-phase synchronized coherent domains interspersed by an incoherent domain, in which the nearby oscillators are in out-of-phase synchronized states. At- tractors of the coherent domains are either from the same or different basins of attractions depending on whether they are periodic or chaotic. Conventional chimera precedes the phase-flip chimera in general. Further, the phase-flip chimera emerges after the completely synchronized evolution of the ensemble in contrast to conventional chimeras which emerge as an intermediate state between completely incoherent and coherent states. We have also characterized the observed dynamical transitions using the strength of incoherence, probability distribution of correlation coefficient and the framework of master stability function.