Abstract
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.
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