Computation of normal forms of Bogdanov-takens singularities for high dimensional nonlinear systems - Details

Author：

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

Indexed by：

Scopus

Abstract：

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.

Keyword：

Normal Forms of Bogdanov-Takens; Symbolic Computation; Transformation

Author Community：

[ 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

Reprint Author's Address：

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

Email：

sandyzhang0@yahoo.com

Show more details

Related Keywords：

Source ：

AIP Conference Proceedings

ISSN： 0094-243X

Year： 2010

Issue： PART 1

Volume： 1233

Page： 696-700

Language： English

Cited Count：

WoS CC Cited Count：

SCOPUS Cited Count：

ESI Highly Cited Papers on the List： 0 Unfold All

WanFang Cited Count：

Chinese Cited Count：

30 Days PV： 10

Affiliated Colleges：

化学与生命科学学院本学院/部未明确归属的数据

材料科学与工程学院本学院/部未明确归属的数据

Get Fulltext

DOI Library Discovery Baidu Scholar Search SCOPUS

Type
Departments

All Years Choose Year From to