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Complex generalized synchronization of complex-variable chaotic systems

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Abstract

Dynamical behaviors and generalized synchronization play an important role in chaotic application. In this paper, bi-stability and the Hamilton energy are discussed in a one-parameter chaotic system in complex field. Then, based on the Lyapunov stability theory, a scheme of complex generalized synchronization with regard to a complex vector map (CGS) is designed for complex dynamical system with complex parameters. Finally, CGS of coexisting chaotic attractors as well as two strictly different complex chaotic systems is achieved.

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Acknowledgements

This work was supported by the National Nature Science Foundation of China (No. 61773010).

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Jinan, Jinan, 250022, China

    Xiu Zhao & Jian Liu

  2. School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250303, China

    Fangfang Zhang

  3. School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353, China

    Cuimei Jiang

Authors
  1. Xiu Zhao
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  2. Jian Liu
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  3. Fangfang Zhang
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  4. Cuimei Jiang
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Correspondence to Jian Liu.

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Zhao, X., Liu, J., Zhang, F. et al. Complex generalized synchronization of complex-variable chaotic systems. Eur. Phys. J. Spec. Top. 230, 2035–2041 (2021). https://doi.org/10.1140/epjs/s11734-021-00129-6

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  • DOI: https://doi.org/10.1140/epjs/s11734-021-00129-6

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