title: Phase-flip chimera induced by environmental nonlocal coupling.
abstract: We report the emergence of a collective dynamical state, namely, the phase-flip chimera, from an ensemble 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 characterized 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. Attractors of the coherent domains are either from the same or from different basins of attractions, depending on whether they are periodic or chaotic. The 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 the correlation coefficient, and framework of the master stability function.
authors: Centre for Nonlinear Science & Engineering, School of Electrical & Electronics Engineering, SASTRA University, Thanjavur 613 401, India.
authors: V K
authors: VK
authors: Chandrasekar
authors: Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli 620 024, India.|Department of Physics, Nehru Memorial College, Puthanampatti, Tiruchirapalli 621 007, India.
authors: R
authors: R
authors: Gopal
authors: School of Physics, Indian Institute of Science Education and Research, Thiruvananthapuram 695 016, India.
authors: D V
authors: DV
authors: Senthilkumar
authors: Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli 620 024, India.
authors: M
authors: M
authors: Lakshmanan