Work

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

Year: 2024

Type: article

Abstract: 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.

Source: Frontiers in Physics

DOI: 10.3389/fphy.2024.1445805

Authors: Binhua Yuan, Hui Xu, Lei Hu, Jie Wu

Institutions: Longdong University, Henan Technical College of Construction, China University of Mining and Technology, Jiangnan University

Language: English

Topic: Chaos control and synchronization

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,795

Funders: National Natural Science Foundation of China, Jiangnan University, China University of Mining and Technology, Longdong University