Transition to complete synchronization in phase coupled oscillators with nearest neighbours coupling

Details Transition to complete synchronization in phase coupled oscillators with nearest neighbours coupling Transition to complete synchronization in phase coupled oscillators with nearest neighbours coupling

2008-12-04

arxiv.org/abs/0812.0998v1

Chaos 19, 013103 (2009)

Nonlinear Sciences

Chaotic Dynamics

6 pages, 4 figures, to appear in CHAOS

Scientific paper

10.1063/1.3056047

We investigate synchronization in a Kuramoto-like model with nearest neighbour coupling. Upon analyzing the behaviour of individual oscillators at the onset of complete synchronization, we show that the time interval between bursts in the time dependence of the frequencies of the oscillators exhibits universal scaling and blows up at the critical coupling strength. We also bring out a key mechanism that leads to phase locking. Finally, we deduce forms for the phases and frequencies at the onset of complete synchronization.

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