Synchronization analysis of time delay complex-variable chaotic systems with discontinuous coupling

In this paper, the synchronization problem between two complex-variable delayed chaotic systems with discontinuous coupling is analyzed, where the interactions between two systems are considered as on-off coupling. Based on the stability theory and comparison theorem of differential equations, some sufficient conditions are given to ensure synchronization in the complex-variable delayed chaotic systems with on-off coupling. The theoretical results show that two complex-variable delayed chaotic systems can achieve synchronization even if the two complex-variable delayed chaotic systems are switched off sometimes and the synchronization speed is closely related to the coupling strength and the on-off rate. Finally, numerical examples are examined to illustrate the feasibility and effectiveness of the analytical results.