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

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• 作者：Song Zheng ^{songzheng070318@yahoo.com" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Journal of The Franklin Institute
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：353
• 期：6
• 页码：1460-1477
• 全文大小：1407 K

文摘

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.