Acceleration phenomenon in the synchronization of diffusively coupled oscillators

Synchronization of randomly coupled networks, with each node being a van der Pol oscillator subject to parametric excitation, is studied in the present paper. The effects of the network structure, the initial conditions and the intensity of Gaussian white noise on the synchronization performance of diffusively coupled oscillators are also investigated. It is found that unidirectionally coupled dynamical networks with proper parametric excitation can achieve synchronization, and it is interesting to reveal that stochastic excitation can even accelerate network synchronization under certain initial conditions and initial intensity of stochastic excitation.