Realizing stochastic fixed-time synchronization between two nonlinear chaotic finance systems

Jie Wu, Xiaohong Pan, Kexing Wu and Xiaofeng Wang
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Jie Wu: School of Artificial Intelligence and Computer Science, Jiangnan University, Wuxi 214122, P. R. China
Xiaohong Pan: School of Artificial Intelligence and Computer Science, Jiangnan University, Wuxi 214122, P. R. China
Kexing Wu: ��School of Finance, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, P. R. China
Xiaofeng Wang: School of Artificial Intelligence and Computer Science, Jiangnan University, Wuxi 214122, P. R. China

International Journal of Modern Physics C (IJMPC), 2024, vol. 35, issue 04, 1-18

Abstract: The issue of stochastic fixed-time synchronization (SFxS) between two nonlinear chaotic finance systems (CFSs) in noisy environment is addressed by this investigation. Two novel strategies, including the adaptive and fixed-time control, are integrated organically, which steers the CFSs to realize synchronization within a fixed-time, and meanwhile the controlling gains can be updated by the designed adaptive law. Particularly, the designed adaptive fixed-time controlling (AFC) scheme is differentiable, so that the chattering phenomenon can be alleviated and even eliminated effectively. Furthermore, by the stochastic Lyapunov stability analysis, the sufficient criterion is derived for realizing the SFxS of CFSs, and the upper-bound expectation of settling-time (UET) is estimated as well. At last, the numerical experiments are arranged to verify the correctness and feasibility of analytical results, the influence of noisy perturbation on the convergence rate is uncovered, and the interesting similar Dragon–King events are observed.

Keywords: Chaotic system; synchronization; fixed-time; noise (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0129183124500402

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