Chimeralike states in an ensemble of globally coupled oscillators.
We demonstrate the emergence of a complex state in a homogeneous ensemble of globally coupled identical oscillators, reminiscent of chimera states in nonlocally coupled oscillator lattices. In this regime some part of the ensemble forms a regularly evolving cluster, while all other units irregularly oscillate and remain asynchronous. We argue that the chimera emerges because of effective bistability, which dynamically appears in the originally monostable system due to internal delayed feedback in individual units. Additionally, we present two examples of chimeras in bistable systems with frequency-dependent phase shift in the global coupling.
Institute for Physics and Astronomy, University of Potsdam, Karl-Libknecht-Strasse 24/25, 14476 Potsdam-Golm, Germany.
Azamat
A
Yeldesbay
Institute for Physics and Astronomy, University of Potsdam, Karl-Libknecht-Strasse 24/25, 14476 Potsdam-Golm, Germany and Department of Control Theory, Nizhni Novgorod State University, Gagarin Avenue 23, 606950 Nizhni Novgorod, Russia.
Arkady
A
Pikovsky
Institute for Physics and Astronomy, University of Potsdam, Karl-Libknecht-Strasse 24/25, 14476 Potsdam-Golm, Germany.
Michael
M
Rosenblum
D005246:Feedback; D008962:Models, Theoretical; D010507:Periodicity