Title: A Method for Computing Center Manifold and Normal Forms
Abstract: Equadiff 99, pp. 832-837 (2000) No AccessA Method for Computing Center Manifold and Normal FormsP. YUP. YUDepartment of Applied Mathematics, University of Western Ontario London, Ontario, Canada N6A 5B7, Canadahttps://doi.org/10.1142/9789812792617_0163Cited by:1 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: A perturbation technique is presented for computing normal forms from a general n-dimensional differential equation. The technique, without the application of center manifold theory, can be used to systematically find a simplest (or unique) normal form. Hopf bifurcation is used as an illustration for the method. The implementation of the approach, with the aid of Maple, is straightforward and the computation is efficient. This work was supported by the Natural Sciences and Engineering Research Council of Canada. FiguresReferencesRelatedDetailsCited By 1Vibration analysis on a thin plate with the aid of computation of normal formsPei Yu, Wei Zhang and Qinsheng Bi1 Jun 2001 | International Journal of Non-Linear Mechanics, Vol. 36, No. 4 Equadiff 99Metrics History PDF download
Publication Year: 2000
Publication Date: 2000-09-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
Access and Citation
Cited By Count: 11
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