Dynamic analysis, circuit realization, and its synchronization of a new chaotic hyperjerk system
Year: 2025
Type: article
Abstract: This article presents a new chaotic hyperjerk system by adding nonlinear term to an existing model. The dissipativity and invariance, equilibrium points, and their stability conditions, as well as the conditions for the existence of Hopf bifurcations at the equilibrium points, are analyzed. Meanwhile, we investigate the rich dynamical phenomena of the hyperjerk system, and the results show that the system exhibits chaos over a wide range of parameter variations and demonstrates complex dynamical characteristics such as periodic orbits, multi-periodic orbits, and quasi-periodic orbits under different parameter conditions. Furthermore, the chaotic synchronization, and circuit implementation of the hyperjerk system are also studied. Finally, the application of the hyperjerk system in chaotic encryption and decryption is discussed.
Source: Open Physics
Authors: Junhong Li, Ning Cui, Huibin Wu, Lin He
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,356
OpenAlex ID: W4413080830