The oscillating two-cluster chimera state in non-locally coupled phase oscillators
School of Science, Beijing University of Posts and Telecommunications - Beijing, 100876, PRC
2 Department of Physics, Beijing Normal University - Beijing, 100875, PRC
Accepted: 28 November 2011
We investigate an array of identical phase oscillators non-locally coupled without time delay, and find that a chimera state with two coherent clusters exists which was only reported in delay-coupled systems previously. Moreover, we find that the chimera state is not stationary for any finite number of oscillators. The existence of the two-cluster chimera state and its time-dependent behaviors for finite number of oscillators are confirmed by the theoretical analysis based on the self-consistency treatment and the Ott-Antonsen ansatz.
PACS: 05.45.Xt – Synchronization; coupled oscillators
© EPLA, 2012