A new 4D hyperchaotic system and its control

被引：12

作者：

Cui, Ning ^{[1
]}

Li, Junhong ^{[1
]}

机构：

[1] Hanshan Normal Univ, Sch Math & Stat, Chaozhou 521041, Guangdong, Peoples R China

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 01期

关键词：

hyperchaos; Lyapunov exponents; bifurcation; hyperchaos control; PROJECTIVE SYNCHRONIZATION; CHAOS CONTROL; QI SYSTEM; ATTRACTORS;

D O I：

10.3934/math.2023044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 Poincare ' maps are carried out in order to analyze and verify the complex phenomena of the 4D hyperchaotic system.

引用

页码：905 / 923

页数：19

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