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 currently known on the bifurcation theory of planar vector fields. While the treatment is geometric, special analytical tools using abelian integrals are needed, and are explicitly developed. The rescaling and normalization methods are improved for application here. The reader is assumed to be familiar with the elements of Bifurcation and Dynamical Sy…
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Produktdetails
Weitere Autoren: Roussarie, Robert / Sotomayor, Jorge / Zoladek, Henryk
- ISBN: 978-3-540-54521-7
- EAN: 9783540545217
- Produktnummer: 3787299
- Verlag: Springer Berlin Heidelberg
- Sprache: Englisch
- Erscheinungsjahr: 1991
- Seitenangabe: 240 S.
- Masse: H24.0 cm x B16.5 cm x D1.5 cm 350 g
- Auflage: 1991
- Abbildungen: Paperback
- Gewicht: 350
5 weitere Werke von Freddy Dumortier:
Qualitative Theory of Planar Differential Systems
Nilpotent Singularities and Abelian Integrals
Nilpotent Singularities and Abelian Integrals
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