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]
Resource Information
The item Bifurcations of planar vector fields : nilpotent singularities and Abelian integrals, F. Dumortier [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Bifurcations of planar vector fields : nilpotent singularities and Abelian integrals, F. Dumortier [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (viii, 226 pages)
- Note
- "Subseries: Instituto de Mathemática [i.e. Matemática] Pura e Aplicada, Rio de Janeiro, Brazil (vol. 48)"--Ser. title page
- 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
- Isbn
- 9783540384335
- 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]
- 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
- 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]
- 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]
- 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.
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Bifurcations-of-planar-vector-fields--nilpotent/yxmCteoexvs/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Bifurcations-of-planar-vector-fields--nilpotent/yxmCteoexvs/">Bifurcations of planar vector fields : nilpotent singularities and Abelian integrals, F. Dumortier [and others]</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
