Amplitude control of limit cycles in Langford system

被引：15

作者：

Cui, Yan ^{[1
,2
]}

Liu, Suhua ^{[1
,3
]}

Tang, Jiashi ^{[3
]}

Meng, Yimin ^{[4
]}

机构：

[1] Shanghai Univ Engn Sci, Vocat Tech Coll, Shanghai 200437, Peoples R China

[2] E China Univ Sci & Technol, Sch Mech & Power Engn, Shanghai 200237, Peoples R China

[3] Hunan Univ, Coll Mech & Aerosp, Changsha 410082, Hunan, Peoples R China

[4] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 42卷 / 01期

关键词：

LINEAR FEEDBACK-CONTROL; BIFURCATION CONTROL; HOPF BIFURCATIONS; TIME-SYSTEMS;

D O I：

10.1016/j.chaos.2008.12.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the control of amplitude of limit cycle emerging from the Hopf bifurcation in Langford system under a nonlinear feedback controller. Explicit nonlinear control formulae and amplitude approximations in terms of control gains are derived from the center manifold theory and normal form reduction. The formulae and expressions for the Langford system present a convenient approach to obtain an effective analytical control and predict the amplitude of limit cycles in this system. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：335 / 340

页数：6

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