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Bifurcations of planar vector fields : nilpotent singularities and Abelian integrals

Author: Freddy Dumortier
Publisher: Berlin ; New York : Springer-Verlag, ©1991.
Series: Lecture notes in mathematics (Springer-Verlag), 1480.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Bifurcations of planar vector fields.
Berlin ; New York : Springer-Verlag, ©1991
(DLC) 91031740
(OCoLC)24318123
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Freddy Dumortier
ISBN: 9783540384335 3540384332
OCLC Number: 277186959
Notes: "Subseries: Instituto de Mathemática [i.e. Matemática] Pura e Aplicada, Rio de Janeiro, Brazil (vol. 48)"--Ser. title page.
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (viii, 226 pages) : illustrations.
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: 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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1480.
Responsibility: F. Dumortier [and others].

Abstract:

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 results presented reach the limits of what  Read more...

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