Bifurcation analysis and control of periodic solutions changing into invariant tori in Langford system

被引：0

作者：

刘素华 ^{[1
,2
]}

唐驾时 ^{[1
]}

秦金旗 ^{[1
]}

尹小波 ^{[3
]}

机构：

[1] College of Mechanics and Aerospace, Hunan University

[2] Anyang Institute of Technology

[3] School of Geoscience and Environmental Engineering, Central South University

来源：

Chinese Physics B | 2008年 / 17卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Langford system; nonlinear control; secondary Hopf bifurcation; torus;

D O I：

暂无

中图分类号：

O415.5 [混沌理论];

学科分类号：

摘要：

Bifurcation characteristics of the Langford system in a general form are systematically analysed, and nonlinear controls of periodic solutions changing into invariant tori in this system are achieved. Analytical relationship between control gain and bifurcation parameter is obtained. Bifurcation diagrams are drawn, showing the results of control for secondary Hopf bifurcation and sequences of bifurcations route to chaos. Numerical simulations of quasi-periodic tori validate analytic predictions.

引用

页码：1691 / 1697

页数：7

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