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Multi-switching combination synchronization of spatiotemporal coupled chaotic systems with complexities

Author

Listed:
  • Hao Zhang

    (College of Information and Computer, Taiyuan University of Technology, Taiyuan, Shanxi 030024, P. R. China)

  • Xingyuan Wang

    (School of Information Science and Technology, Dalian Maritime University, Dalian, Liaoning 116026, P. R. China)

  • Jun Zhang

    (College of Data Science, Taiyuan University of Technology, Taiyuan, Shanxi 030024, P. R. China)

  • Pengfei Yan

    (College of Information and Computer, Taiyuan University of Technology, Taiyuan, Shanxi 030024, P. R. China)

Abstract

In this paper, multi-switching combination synchronization for spatiotemporal coupled systems are studied. For the local system in spatiotemporal coupled systems, different local dynamic behaviors are taken into consideration. With the Backstepping method, synchronization controllers are designed for different possible combined errors and corresponding theorems are derived according to the Lyapunov stability theory. In the stability design, multi-switching combination synchronizations can be translated into corresponding combination projective synchronization with different projective factors. In addition, complexities including time delays are considered in the synchronization process. At last, simulation results show the robustness and effectiveness of our methods.

Suggested Citation

  • Hao Zhang & Xingyuan Wang & Jun Zhang & Pengfei Yan, 2019. "Multi-switching combination synchronization of spatiotemporal coupled chaotic systems with complexities," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 30(09), pages 1-14, September.
    • Handle: RePEc:wsi:ijmpcx:v:30:y:2019:i:09:n:s0129183119500670
    DOI: 10.1142/S0129183119500670
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    Cited by:

    1. Yan, Shaohui & Wang, Ertong & Gu, Binxian & Wang, Qiyu & Ren, Yu & Wang, Jianjian, 2022. "Analysis and finite-time synchronization of a novel double-wing chaotic system with transient chaos," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 602(C).

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