Phase-flip chimera induced by environmental nonlocal coupling
arXiv:1607.01514 · doi:10.1103/PhysRevE.94.012208
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.
11pages,12 figures, Accepted for publication in Phys. Rev. E
References in corpus (8)
- Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
- Analysis of a power grid using the Kuramoto-like model
- Clustered chimera states in delay coupled oscillator systems
- Vibrational sidebands and dissipative tunneling in molecular transistors
- Clustering as a prerequisite for chimera states in globally coupled systems
- Relaxation and Zeno effect in qubit measurements
- Mechanism for intensity induced chimera states in globally coupled oscillators
- Chimeras in globally coupled oscillatory systems: From ensembles of oscillators to spatially continuous media