STUDY ON CHAOS CONTROL OF FRACTIONAL-ORDER UNIFIED CHAOTIC SYSTEM

Chuntao Yin, Yufei Zhao (), Yongjun Shen (), Xianghong Li () and Jingzhao Fang ()
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Chuntao Yin: Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, P. R. China
Yufei Zhao: Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, P. R. China
Yongjun Shen: ��Department of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, P. R. China
Xianghong Li: Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, P. R. China
Jingzhao Fang: Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, P. R. China

FRACTALS (fractals), 2024, vol. 32, issue 06, 1-11

Abstract: This paper focuses on synchronization control of the fractional-order unified chaotic system. First, the stability of equilibria is analyzed by the Routh–Hurwitz criteria. Then, three different controllers are designed to achieve chaos synchronization of the drive-response unified system. Further, the impact of the fractional order on the synchronization performance is illustrated. Numerical simulations are carried out to verify the feasibility of theoretical analysis.

Keywords: Fractional Derivative; Unified Chaotic System; Chaos Synchronization (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24501147

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