Hopf Bifurcation, Periodic Solutions, and Control of a New 4D Hyperchaotic System

被引：3

作者：

Liu, Yu ^{[1
]}

Zhou, Yan ^{[1
,2
]}

Guo, Biyao ^{[1
]}

机构：

[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China

[2] Inner Mongolia Normal Univ, Ctr Appl Math Sci, Hohhot 010022, Peoples R China

来源：

MATHEMATICS | 2023年 / 11卷 / 12期

基金：

中国国家自然科学基金;

关键词：

hyperchaotic system; Hopf bifurcation; periodic solutions; hyperchaos control; normal form theory; CHAOTIC SYSTEM; SYNCHRONIZATION; CIRCUIT;

D O I：

10.3390/math11122699

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a new four-dimensional (4D) hyperchaotic biplane system is designed and presented. The dynamical properties of this new system are studied by means of tools such as bifurcation diagrams, Lyapunov exponents and phase diagrams. The Hopf bifurcation and periodic solutions of this hyperchaotic system are solved analytically. In addition, a new hyperchaotic control strategy is applied, and a comparative analysis of the controlled system is performed.

引用

页数：14