The Synchronization of N Cascade-Coupled Chaotic Systems

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 stabi...

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Bibliographic Details
Published in:Complexity (New York, N.Y.) N.Y.), 2019, Vol.2019 (2019), p.1-10
Main Authors: Zheng, Yazhao, Li, Shouliang, Du, Juan, Li, Pengyu, Jia, Bowen
Format: Article
Language:English
Subjects:
Chaos theory
Computer simulation
Coupling
Dynamical systems
Signal processing
Stability criteria
Synchronism
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Summary: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.
ISSN:1076-2787
1099-0526
DOI:10.1155/2019/2709820