A new 4D hyperchaotic system and its control

AIMS Mathematics

article

Ning Cui¹  Junhong Li¹ 

[1] School of Mathematics and Statistics, Hanshan Normal University

关键词: hyperchaos;    Lyapunov exponents;    bifurcation;    hyperchaos control;   

DOI  :  10.3934/math.2023044

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

This paper presents a new four-dimensional (4D) hyperchaotic system by introducing a linear controller to 3D chaotic Qi system. Based on theoretical analysis and numerical simulations, the dynamical behaviors of the new system are studied including dissipativity and invariance, equilibria and their stability, quasi-periodic orbits, chaotic and hyperchaotic attractors. In addition, the Hopf bifurcation at the zero equilibrium point and hyperchaos control of the system are investigated. The numerical simulations, including phase diagram, Lyapunov exponent spectrum, bifurcations and Poincaré maps are carried out in order to analyze and verify the complex phenomena of the 4D hyperchaotic system.

【 授权许可】

CC BY