Coverart for item
The Resource Bifurcations of planar vector fields : nilpotent singularities and Abelian integrals, F. Dumortier [and others]

Bifurcations of planar vector fields : nilpotent singularities and Abelian integrals, F. Dumortier [and others]

Label
Bifurcations of planar vector fields : nilpotent singularities and Abelian integrals
Title
Bifurcations of planar vector fields
Title remainder
nilpotent singularities and Abelian integrals
Statement of responsibility
F. Dumortier [and others]
Contributor
Subject
Language
eng
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
Member of
Action
digitized
Cataloging source
SPLNM
Dewey number
  • 510 s
  • 515.35
Illustrations
illustrations
Index
index present
LC call number
  • QA3
  • QA372
LC item number
.L28 no. 1480
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Dumortier, Freddy
Series statement
Lecture notes in mathematics,
Series volume
1480
http://library.link/vocab/subjectName
  • Bifurcation theory
  • Differential equations
  • Stability
  • Bifurcation theory
  • Differential equations
  • Stability
  • Planares Vektorfeld
  • Verzweigung
Label
Bifurcations of planar vector fields : nilpotent singularities and Abelian integrals, F. Dumortier [and others]
Instantiates
Publication
Note
"Subseries: Instituto de Mathemática [i.e. Matemática] Pura e Aplicada, Rio de Janeiro, Brazil (vol. 48)"--Ser. title page
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
277186959
Dimensions
unknown
Extent
1 online resource (viii, 226 pages)
Form of item
online
Isbn
9783540384335
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)277186959
System 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.
Label
Bifurcations of planar vector fields : nilpotent singularities and Abelian integrals, F. Dumortier [and others]
Publication
Note
"Subseries: Instituto de Mathemática [i.e. Matemática] Pura e Aplicada, Rio de Janeiro, Brazil (vol. 48)"--Ser. title page
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
277186959
Dimensions
unknown
Extent
1 online resource (viii, 226 pages)
Form of item
online
Isbn
9783540384335
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)277186959
System 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.

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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