One node driving synchronisation.

摘要: Abrupt changes of behaviour in complex networks can be triggered by a single node. This work describes the dynamical fundamentals how one node affects whole network formed coupled phase-oscillators with heterogeneous coupling strengths. The synchronisation is independent distribution natural frequencies, weakly depends on size, but highly only key oscillator whose ratio between its frequency rotating frame and strength maximum. result based novel method to calculate critical which emerge into synchronisation. In addition, we put forward an analytical approximately phase-angles for synchronous oscillators.