Synchronization of Coupled Stochastic Systems Driven by α-Stable Levy Noises

The synchronization of the solutions to coupled stochastic systems of N-Marcus stochastic ordinary differential equations which are driven by alpha-stable Levy noises is investigated (N is an element of N, 1 < alpha < 2). We obtain the synchronization between two solutions and among different components of solutions under certain dissipative conditions. The synchronous phenomena persist no matter how large the intensity of the environment noises. These results generalize the work of two Marcus canonical equations in X. M. Liu et al.'s (2010).