Bifurcations of planar vector fields : nilpotent singularities and Abelian integrals /

Bifurcations of planar vector fields : nilpotent singularities and Abelian integrals /

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Bibliographic Details
Imprint:	Berlin ; New York : Springer-Verlag, ©1991.
Description:	1 online resource (viii, 226 pages) : illustrations.
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1480 Lecture notes in mathematics (Springer-Verlag) ; 1480.
Subject:	Bifurcation theory. Differential equations -- Numerical solutions. Stability. Bifurcation theory. Differential equations -- Numerical solutions. Stability.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11069778

Hidden Bibliographic Details
Other authors / contributors:	Dumortier, Freddy.
ISBN:	9783540384335 3540384332 3540545212 9783540545217 0387545212 9780387545219
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.
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.
Other form:	Print version: Bifurcations of planar vector fields. Berlin ; New York : Springer-Verlag, ©1991 3540545212

Description
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.
Item Description:	"Subseries: Instituto de Mathemática [i.e. Matemática] Pura e Aplicada, Rio de Janeiro, Brazil (vol. 48)"--Ser. title page.
Physical Description:	1 online resource (viii, 226 pages) : illustrations.
Format:	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.
Bibliography:	Includes bibliographical references and index.
ISBN:	9783540384335 3540384332 3540545212 9783540545217 0387545212 9780387545219
ISSN:	0075-8434 ;