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ORIGINAL RESEARCH article

Front. Phys.
Sec. Statistical and Computational Physics
Volume 12 - 2024 | doi: 10.3389/fphy.2024.1445805

Adaptive strategy for achieving fast synchronization between two memristor chaotic circuits without and with noisy perturbation

Provisionally accepted
Binhua Yuan Binhua Yuan 1*Hui Xu Hui Xu 2Lei Hu Lei Hu 3Jie Wu Jie Wu 4
  • 1 Longdong University, Qingyang, China
  • 2 Henan Technical College of Construction, Zhengzhou, China
  • 3 China University of Mining and Technology, Xuzhou, Jiangsu Province, China
  • 4 Jiangnan University, Wuxi, Jiangsu Province, China

The final, formatted version of the article will be published soon.

    This paper presents an innovative approach for achieving rapid synchronization between two memristor chaotic circuits (MCCs), both with and without noise perturbations. The proposed adaptive control strategy effectively handles the uncertainty in control gains by adhering to predesigned update law. Additionally, this protocol is non-chattering and differentiable, avoiding the use of conventional discontinuous functions such as signum and absolute value functions. This method successfully mitigates the tremors caused by discontinuous functions. We derive two sufficient criteria using finite-time Lyapunov and stochastic finite-time Lyapunov stability methods.Numerical results validate the theoretical analysis and demonstrate the influence of noise intensity on convergence speed. Furthermore, the results have an application in image encryption transmission.

    Keywords: Chaotic system, nonlinear system, image encryption, Adaptive control, synchronization

    Received: 08 Jun 2024; Accepted: 22 Aug 2024.

    Copyright: © 2024 Yuan, Xu, Hu and Wu. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Binhua Yuan, Longdong University, Qingyang, China

    Disclaimer: All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.