Hidden Bibliographic Details
| Other authors / contributors: | Dumortier, Freddy.
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| ISBN: | 9783540384335
3540384332
3540545212
9783540545217
0387545212
9780387545219
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| Notes: | "Subseries: Instituto de Mathemática [i.e. Matemática] Pura e Aplicada, Rio de Janeiro, Brazil (vol. 48)"--Ser. title page.
Includes bibliographical references and index.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
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. http://purl.oclc.org/DLF/benchrepro0212
digitized 2010 HathiTrust Digital Library committed to preserve
Print version record.
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| 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 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 Systems Theory. The book is addressed to researchers and graduate students working in Ordinary Differential Equations and Dynamical Systems, as well as anyone modelling complex multiparametric phenomena.
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| Other form: | Print version: Bifurcations of planar vector fields. Berlin ; New York : Springer-Verlag, ©1991 3540545212
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