Chaotic analysis and control of a quadratic polynomial chaotic system

Liang Zhang; Qin Han

doi:10.1117/12.3010717

1 December 2023 Chaotic analysis and control of a quadratic polynomial chaotic system

Liang Zhang, Qin Han

Proceedings Volume 12940, Third International Conference on Control and Intelligent Robotics (ICCIR 2023); 129401O (2023) https://doi.org/10.1117/12.3010717
Event: Third International Conference on Control and Intelligent Robotics (ICCIR 2023), 2023, Sipsongpanna, China

Abstract

The nonlinear dynamic characteristics of a quadratic polynomial discrete chaotic system are studied. The system has three system parameters and presents different period-doubling bifurcation characteristics. In this paper, the bifurcation process of three different parameters as bifurcation parameters is analyzed. Meanwhile, the influence of the initial value of the system on the period-doubling bifurcation of the system is studied. The translation method is used to control the bifurcation of the system. Changing the translation control parameters can change the dynamic characteristics of the system. By taking different values of the translation control parameters, the bifurcation of the system is delayed or occurred in advance.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Liang Zhang and Qin Han "Chaotic analysis and control of a quadratic polynomial chaotic system", Proc. SPIE 12940, Third International Conference on Control and Intelligent Robotics (ICCIR 2023), 129401O (1 December 2023); https://doi.org/10.1117/12.3010717

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