Anti-control of Hopf bifurcation in the new chaotic system with piecewise system and exponential system

被引：2

作者：

Zhang Ling-Mei ^{[1
]}

Zhang Jian-Wen ^{[1
]}

Wu Run-Heng ^{[2
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Peoples R China

[2] North China Univ Technol, Coll Sci, Beijing 100041, Peoples R China

来源：

ACTA PHYSICA SINICA | 2014年 / 63卷 / 16期

基金：

中国国家自然科学基金;

关键词：

chaotic system; control; Hopf bifurcation; Lyapunov coefficient; STABLE NODE-FOCI; SYNCHRONIZATION;

D O I：

10.7498/aps.63.160505

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In order to understand the complex three-dimensional dynamical system with the unstable nodes, we propose a nonlinear controller. The corresponding controlling system makes the codimension one, two, and three Hopf bifurcations happen. The mathematical deduction demonstrates that the system can be controlled to produce the degenerate Hopf bifurcation at desired location and stability of controllable bifurcation.

引用

页数：7

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