An Approach to Analyse Phase Synchronization in Oscillator Networks with Weak Coupling

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2007,（6）
• 页码范围: 1494-1497
• 页数: 4页
• 语种: 英文

摘要

We study phase synchronization in oscillator networks through phase reduced method. The dynamics of networks is reduced to phase equations by this method. Analysing the phase equations through the master stability function method, one obtains that the oscillators with identical frequency can be in-phase synchronized by weak balanced coupling. Sim.ila.rly, the problem of frequency synchronization of oscillators with different frequencies is transformed to the existence of a locally asymptotically stable equilibrium of the phase error system.