Adaptive synchronization of coupled nonidentical chaotic systems with complex variables and stochastic perturbations

This paper considers asymptotic synchronization in an array of complex-variable chaotic systems, where node systems exhibit nonidentical nonlinear dynamics and subject to different stochastic perturbations. The effects of the differences among the node systems are overcome by designing a special adaptive discontinuous controller. By using Lyapunov stability theorem and stochastic properties, sufficient conditions are obtained to guarantee the synchronization. Finally, numerical simulations are given to show the effectiveness of the theoretical results.