Limit cycle and bifurcation of nonlinear problems

被引：263
作者：
He, JH [1 ]
机构：
[1] Donghua Univ, Coll Sci, Shanghai 200051, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2005年 / 26卷 / 03期
关键词：
D O I：
10.1016/j.chaos.2005.03.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper a simple but effective iteration method is proposed to search for limit cycles or bifurcation curves of nonlinear equations. Some examples are given to illustrate its convenience and effectiveness. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：827 / 833
页数：7
相关论文
共 31 条
[1]  
Abassy TA, 2004, INT J NONLIN SCI NUM, V5, P327
[2]  
Abdusalam HA, 2005, INT J NONLIN SCI NUM, V6, P99
[3]  
[Anonymous], 2004, APPL MECH REV
[4]  
Draganescu GE, 2003, INT J NONLIN SCI NUM, V4, P219, DOI 10.1515/IJNSNS.2003.4.3.219
[5]  
El-Shahed M, 2005, INT J NONLIN SCI NUM, V6, P163
[6]  
Hao TH, 2005, INT J NONLIN SCI NUM, V6, P209
[7]  
Hao TH, 2003, INT J NONLIN SCI NUM, V4, P311, DOI 10.1515/IJNSNS.2003.4.3.311
[8]  
Hao TH, 2003, INT J NONLIN SCI NUM, V4, P307, DOI 10.1515/IJNSNS.2003.4.3.307
[9]   Variational iteration method - a kind of non-linear analytical technique: Some examples [J].
He, JH .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) :699-708
[10]   Determination of limit cycles for strongly nonlinear oscillators [J].
He, JH .
PHYSICAL REVIEW LETTERS, 2003, 90 (17) :3
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