Bifurcations of Planar Vector Fields : Nilpotent Singularities and Abelian Integrals
The book reports on recent work by the authors on the bifurcation structure of singular points of planar vector fields whose linear parts are nilpotent. The bifurcation diagrams of the most important codimension-three cases are studied in detail. The results presented reach the limits of what is cur...
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| Auteurs principaux: | , , , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Colecção: | Lecture notes in mathematics
1480 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Autre contributeur : H. Zoladek (auteur) Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Bifurcations of planar vector fields, nilpotent singularities and Abelian integrals, F. Dumortier, R. Roussarie, J. Sotomayor, [et al.], 1991, Berlin, Springer-Verlag, 1 volume (viii-226 pages), Lecture notes in mathematics, 0-387-54521-2 • Bifurcations of Planar Vector Fields, Texte imprimé, 9783662191552 |
Sumário:
- Definitions and notations
- Transformation into normal form
- Bifurcations of codimension 1 and 2
- Elementary properties
- The central rescaling
- Conclusions and discussion of remaining problems
- Abelian integrals in unfoldings of codimension 3 singular planar vector fields.