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The Resource Dynamic bifurcations : proceedings of a conference held in Luminy, France, March 5-10, 1990, E. Benoît, ed

Dynamic bifurcations : proceedings of a conference held in Luminy, France, March 5-10, 1990, E. Benoît, ed

Label
Dynamic bifurcations : proceedings of a conference held in Luminy, France, March 5-10, 1990
Title
Dynamic bifurcations
Title remainder
proceedings of a conference held in Luminy, France, March 5-10, 1990
Statement of responsibility
E. Benoît, ed
Contributor
Subject
Genre
Language
eng
Summary
Dynamical Bifurcation Theory is concerned with the phenomena that occur in one parameter families of dynamical systems (usually ordinary differential equations), when the parameter is a slowly varying function of time. During the last decade these phenomena were observed and studied by many mathematicians, both pure and applied, from eastern and western countries, using classical and nonstandard analysis. It is the purpose of this book to give an account of these developments. The first paper, by C. Lobry, is an introduction: the reader will find here an explanation of the problems and some easy examples; this paper also explains the role of each of the other paper within the volume and their relationship to one another. CONTENTS: C. Lobry: Dynamic Bifurcations.- T. Erneux, E.L. Reiss, L.J. Holden, M. Georgiou: Slow Passage through Bifurcation and Limit Points. Asymptotic Theory and Applications.- M. Canalis-Durand: Formal Expansion of van der Pol Equation Canard Solutions are Gevrey.- V. Gautheron, E. Isambert: Finitely Differentiable Ducks and Finite Expansions.- G. Wallet: Overstability in Arbitrary Dimension.- F. Diener, M. Diener: Maximal Delay.- A. Fruchard: Existence of Bifurcation Delay: the Discrete Case.- C. Baesens: Noise Effect on Dynamic Bifurcations:the Case of a Period-doubling Cascade.- E. Benoit: Linear Dynamic Bifurcation with Noise.- A. Delcroix: A Tool for the Local Study of Slow-fast Vector Fields: the Zoom.- S.N. Samborski: Rivers from the Point ofView of the Qualitative Theory.- F. Blais: Asymptotic Expansions of Rivers.-I.P. van den Berg: Macroscopic Rivers
Member of
Action
digitized
Cataloging source
SPLNM
Dewey number
  • 510 s
  • 515/.35
Illustrations
illustrations
Index
no index present
LC call number
  • QA3
  • QA614.8
LC item number
.L28 no. 1493
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1952-
http://library.link/vocab/relatedWorkOrContributorName
Benoît, E.
Series statement
Lecture notes in mathematics,
Series volume
1493
http://library.link/vocab/subjectName
  • Differentiable dynamical systems
  • Bifurcation theory
  • Differential equations
  • Dynamique différentiable
  • Bifurcation, Théorie de la
  • Équations différentielles
  • Bifurcation theory
  • Differentiable dynamical systems
  • Bifurcatie
  • Differential equations
  • Differentievergelijkingen
  • Dynamische Verzweigung
  • Marseille <1990>
Label
Dynamic bifurcations : proceedings of a conference held in Luminy, France, March 5-10, 1990, E. Benoît, ed
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 211-219)
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
C. Lobry: Dynamic Bifurcations -- T. Erneux, E.L. Reiss, L.J. Holden, M. Georgiou: Slow Passage Through Bifurcation and Limit Points. Asymptotic Theory and Applications -- M. Canalis-Durand: Formal Expansion of van der Pol Equation Canard Solutions are Gevrey -- V. Gautheron, E. Isambert: Finitely Differentiable Ducks and Finite Expansions -- G. Wallet: Overstability in Arbitrary Dimension -- F. Diener, M. Diener: Maximal Delay -- A. Fruchard: Existence of Bifurcation Delay: the Discrete Case -- C. Baesens: Noise Effect on Dynamic Bifurcations: the Case of a Period-doubling Cascade -- E. Benoit: Linear Dynamic Bifurcation with Noise -- A. Delcroix: A Tool for the Local Study of Slow-fast Vector Fields: The Zoom -- S.N. Samborski: Rivers from the Point of View of the Qualitative Theory -- F. Blais: Asymptotic Expansions of Rivers -- I.P. van den Berg: Macroscopic Rivers
Control code
289056802
Dimensions
unknown
Extent
1 online resource (219 pages)
Form of item
online
Isbn
9783540464716
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)289056802
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
Dynamic bifurcations : proceedings of a conference held in Luminy, France, March 5-10, 1990, E. Benoît, ed
Publication
Bibliography note
Includes bibliographical references (pages 211-219)
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
C. Lobry: Dynamic Bifurcations -- T. Erneux, E.L. Reiss, L.J. Holden, M. Georgiou: Slow Passage Through Bifurcation and Limit Points. Asymptotic Theory and Applications -- M. Canalis-Durand: Formal Expansion of van der Pol Equation Canard Solutions are Gevrey -- V. Gautheron, E. Isambert: Finitely Differentiable Ducks and Finite Expansions -- G. Wallet: Overstability in Arbitrary Dimension -- F. Diener, M. Diener: Maximal Delay -- A. Fruchard: Existence of Bifurcation Delay: the Discrete Case -- C. Baesens: Noise Effect on Dynamic Bifurcations: the Case of a Period-doubling Cascade -- E. Benoit: Linear Dynamic Bifurcation with Noise -- A. Delcroix: A Tool for the Local Study of Slow-fast Vector Fields: The Zoom -- S.N. Samborski: Rivers from the Point of View of the Qualitative Theory -- F. Blais: Asymptotic Expansions of Rivers -- I.P. van den Berg: Macroscopic Rivers
Control code
289056802
Dimensions
unknown
Extent
1 online resource (219 pages)
Form of item
online
Isbn
9783540464716
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)289056802
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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