Work

Triangular function feedback control for chaotic systems featuring coexisting attractors

Year: 2025

Type: article

Abstract: Chaos has emerged as a significant area of research, with the control of chaotic systems being central to this field. This study proposes a novel trigonometric feedback control strategy to regulate Hopf bifurcation in a four-dimensional hyperchaotic system featuring coexisting attractors. By introducing a nonlinear controller [Formula: see text], we establish the stability criteria for equilibrium points under the parameter space a>0, b>0, and [Formula: see text]. Theoretical analysis reveals that the system undergoes a supercritical Hopf bifurcation at [Formula: see text], leading to the emergence of stable limit cycles. Numerical simulations validate the control efficacy: periodic oscillations are observed at d = -1, while equilibrium convergence is achieved at d = -3. Phase portrait analysis and Lyapunov exponent spectra confirm the suppression of chaotic dynamics. This work advances the theoretical framework for bifurcation control in high-dimensional chaotic systems and offers practical implications for secure communication applications.

Source: PLoS ONE

Authors: Yingfang Zhu, Yuan Hu, Erxi Zhu

Institutions: Jiangsu Vocational College of Information Technology, University of Toledo

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: $2,382

Funder: Government of Jiangsu Province

Award: G4397231124