The Synchronization of N Cascade-Coupled Chaotic Systems. (12th December 2019)

• Record Type: Journal Article
• Authors: Li, Pengyu; Du, Juan; Li, Shouliang; Zheng, Yazhao; Jia, Bowen
• Other Names: Gupta Mahendra K. Guest Editor.
• Is Part Of: Complexity. Volume 2019(2019)
• Publication Date: 2019-12-12
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2019/2709820
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : 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.