Computation of normal forms of Bogdanov-takens singularities for high dimensional nonlinear systems - 文章详情页

作者：

Chen, S. (Chen, S..) (学者：陈莎) | Zhang, W. (Zhang, W..) (学者：张伟) | Qian, Y. (Qian, Y..)

收录：

Scopus

摘要：

A　new　computation　of　the　normal　forms　of　Bogdanov-Takens　singularities　is　developed　in　this　paper.　In　the　theoretical　model　for　the　nonplanar　nonlinear　oscillation　of　a　cantilever　beam,　the　computation　method　is　applied　to　compute　the　coefficients　of　the　normal　forms　for　the　case　of　one　non-semisimple　double　zero　and　a　pair　of　pure　imaginary　eigenvalues.　©　2010　American　Institute　of　Physics.

关键词：

Normal Forms of Bogdanov-Takens; Symbolic Computation; Transformation

作者机构：

[ 1 ] [Chen, S.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
[ 2 ] [Chen, S.]College of Mathematics and Information Engineering, TaiZhou University, Linhai, Zhejiang, 317000, China
[ 3 ] [Zhang, W.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
[ 4 ] [Qian, Y.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China

通讯作者信息：

张伟
[Zhang, W.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China

电子邮件地址：

sandyzhang0@yahoo.com

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