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Complex compound-combination multi switching anti-synchronization of fractional-order complex chaotic systems and integer-order complex chaotic systems

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Abstract

Based on three fractional-order complex chaotic systems and two integer-order complex chaotic systems, we propose a novel synchronization scenario of complex compound-combination multi-switching anti-synchronization (CCCMSAS), which is the first of this kind. The CCCMSAS states are completed between three leader and two follower systems by adopting the nonlinear control method and choosing suitable Lyapunov function on the basis of the complex space. Furthermore, different switches and leader–follower systems of different dimensions are selected as the two examples to show the validity and maneuverability of the proposed scheme.

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Acknowledgements

The work is jointly supported by the National Natural Science Foundation of China (11202249) and Taiyuan Institute of Technology Science Fund Project (2018LG05).

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Authors and Affiliations

  1. Department of Science, Taiyuan Institute of Technology, Taiyuan, 030008, Shanxi, People’s Republic of China

    Xiaoqing Zhang

  2. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, People’s Republic of China

    Jian Xiao

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  1. Xiaoqing Zhang
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  2. Jian Xiao
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Correspondence to Xiaoqing Zhang.

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Zhang, X., Xiao, J. Complex compound-combination multi switching anti-synchronization of fractional-order complex chaotic systems and integer-order complex chaotic systems. Int. J. Dynam. Control 10, 525–542 (2022). https://doi.org/10.1007/s40435-021-00816-1

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  • DOI: https://doi.org/10.1007/s40435-021-00816-1

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