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Bibliographic Metadata
- TitleNumerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point
- Author
- Is part ofIMA Journal of Numerical Analysis, Vol. 14 Issue 3, page 381-410
- Published
- LanguageEnglish
- Document typeJournal Article
- Keywords
- ISSN
0272-4979 - URN
- DOI
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Abstract
It is known that branches of homoclinic orbits emanate from a singular point of a dynamical system with a double zero eigenvalue (Takens-Bogdanov point). We develop a robust numerical method for starting the computation of homoclinic branches near such a point. It is shown that this starting procedure relates to branch switching. In particular, for a certain transformed problem the homoclinic predictor is guaranteed to converge to the true orbit under a Newton iteration.
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