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Double-compound synchronization of six memristor-based Lorenz systems

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Abstract

In this paper, a new type of double-compound synchronization, which is based on combination–combination synchronization and compound synchronization of four chaotic systems, is investigated for six memristor-based Lorenz systems. Using Lyapunov stability theory and adaptive control, some sufficient conditions are attained to ensure our conclusions hold. The corresponding theoretical proofs and numerical simulations are supplied to verify the effectiveness and feasibility of our synchronization design. Due to the complexity of our synchronization, it will be more secure to transmit and receive signals in application of communication.

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Acknowledgments

The authors would like to thank the National Natural Science Foundation of China Grants 61273126 and 60874114, the Natural Science Foundation of Guangdong Province Under Grant 10251064101000008, and Research Fund for the Doctoral Program of Higher Education of China under grant 20130172110027, for their financial support.

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Authors and Affiliations

  1. Systems Engineering Institute, South China University of Technology, Guangzhou, 510640, People’s Republic of China

    Bo Zhang & Feiqi Deng

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  1. Bo Zhang
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  2. Feiqi Deng
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Correspondence to Feiqi Deng.

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Zhang, B., Deng, F. Double-compound synchronization of six memristor-based Lorenz systems. Nonlinear Dyn 77, 1519–1530 (2014). https://doi.org/10.1007/s11071-014-1396-z

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