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Collective Phase Chaos in the Dynamics of Interacting Oscillator Ensembles
Sergey P. Kuznetsov, Arkady Pikovsky, Michael Rosenblum
We study chaotic behavior of order parameters in two coupled ensembles of self-sustained oscillators. Coupling within each of these ensembles is switched on and off alternately, wh…
Self-Emerging and Turbulent Chimeras in Oscillator Chains
G. Bordyugov, A. Pikovsky, M. Rosenblum
We report on a self-emerging chimera state in a homogeneous chain of nonlocally and nonlinearly coupled oscillators. This chimera, i.e. a state with coexisting regions of complete…
Partially integrable dynamics of ensembles of nonidentical oscillators
Arkady Pikovsky, Michael Rosenblum
We consider ensembles of sine-coupled phase oscillators consisting of subpopulations of identical units, with a general heterogeneous coupling between subpopulations. Using the Wat…