The Synchronization of N Cascade-Coupled Chaotic Systems

Abstract EN

In this paper, we investigate a novel synchronization method, which consists of n n≥2 cascade-coupled chaotic systems.

Furthermore, as the number of chaotic systems decreases from n to 2, the proposed synchronization will transform into bidirectional coupling synchronization.

Based on Lyapunov stability theory, a general criterion is proposed for choosing the appropriate coupling parameters to ensure cascading synchronization.

Moreover, 4 Lü systems are taken as an example and the corresponding numerical simulations demonstrate the effectiveness of our idea.