Synchronization in coupled phase oscillators

Details Synchronization in coupled phase oscillators Synchronization in coupled phase oscillators

2007-08-18

arxiv.org/abs/0708.2460v2

Nonlinear Sciences

Adaptation and Self-Organizing Systems

8 pages, 5 figures

Scientific paper

We make a short review about the synchronization in coupled phase oscillator models. Next, we study the common-noise-induced synchronization among active rotators. At an intermediate noise strength, the noise-induced synchronization takes place most effectively, which is analogous to the stochastic resonance. Finally, we study the synchronization of coupled phase oscillators with nonvariational interaction on scale-free networks. We find a sharp transition and a weak hysteresis in the nonvariational systems. The sharp transition is found also in the mean-field approximation.

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