The Synchronization ofNCascade-Coupled Chaotic Systems

Author:

Li Pengyu1,Du Juan1ORCID,Li Shouliang1ORCID,Zheng Yazhao1,Jia Bowen1ORCID

Affiliation:

1. School of Information Science and Engineering, Lanzhou University, Lanzhou 730000, China

Abstract

In this paper, we investigate a novel synchronization method, which consists ofnn2cascade-coupled chaotic systems. Furthermore, as the number of chaotic systems decreases fromnto 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.

Funder

Fundamental Research Funds for the Central Universities

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

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