Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions

Details Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions

1997-06-16

arxiv.org/abs/patt-sol/9706005v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Revtex,16 pag.,10 fig., submitted to Physica D

Scientific paper

10.1016/S0167-2789(97)00187-5

The mean field Kuramoto model describing the synchronization of a population of phase oscillators with a bimodal frequency distribution is analyzed (by the method of multiple scales) near regions in its phase diagram corresponding to synchronization to phases with a time periodic order parameter. The richest behavior is found near the tricritical point were the incoherent, stationarily synchronized, ``traveling wave'' and ``standing wave'' phases coexist. The behavior near the tricritical point can be extrapolated to the rest of the phase diagram. Direct Brownian simulation of the model confirms our findings.

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