An analytical method for analyzing symmetry-breaking bifurcation and period-doubling bifurcation

被引：14
|
作者：
Zou, Keguan [1 ]
Nagarajaiah, Satish [1 ,2 ]
机构：
[1] Rice Univ, Dept Civil & Environm Engn, Houston, TX 77005 USA
[2] Rice Univ, Dept Mech Engn, Houston, TX 77005 USA
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 22卷 / 1-3期
关键词：
Symmetry-breaking bifurcation; Period-doubling bifurcation; Homotopy analysis method; Analytical approximation;
D O I：
10.1016/j.cnsns.2014.08.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new modification of homotopy analysis method (HAM) is proposed in this paper. The auxiliary differential operator is specifically chosen so that more than one secular term must be eliminated. The proposed method can capture asymmetric and period-2 solutions with satisfactory accuracy and hence can be used to predict symmetry-breaking and period-doubling bifurcation points. The variation of accuracy is investigated when different number of frequencies are considered. (C) 2014 Elsevier B.V. All rights reserved.
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页码：780 / 792
页数：13
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