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Dynamic Bifurcations: Proceedings of a Conference held in Luminy, France, March 5-10, 1990: 1493 - Brossura

 
9783540549000: Dynamic Bifurcations: Proceedings of a Conference held in Luminy, France, March 5-10, 1990: 1493
Brossura
ISBN 10: 3540549005 ISBN 13: 9783540549000
Casa editrice: Springer Berlin Heidelberg, 2010

Sinossi

Dynamical Bifurcation Theory is concerned with the phenomenathat occur in one parameter families of dynamical systems(usually ordinary differential equations), when theparameter is a slowly varying function of time. During thelast decade these phenomena were observed and studied bymany mathematicians, both pure and applied, from eastern andwestern countries, using classical and nonstandard analysis.It is the purpose of this book to give an account of thesedevelopments. The first paper, by C. Lobry, is anintroduction: the reader will find here an explanation ofthe problems and some easy examples; this paper alsoexplains the role of each of the other paper within thevolume and their relationship to one another.CONTENTS: C. Lobry: Dynamic Bifurcations.- T. Erneux, E.L.Reiss, L.J. Holden, M. Georgiou: Slow Passage throughBifurcation and Limit Points. Asymptotic Theory andApplications.- M. Canalis-Durand: Formal Expansion of vander Pol Equation Canard Solutions are Gevrey.- V. Gautheron,E. Isambert: Finitely Differentiable Ducks and FiniteExpansions.- G. Wallet: Overstability in ArbitraryDimension.- F.Diener, M. Diener: Maximal Delay.- A.Fruchard: Existence of Bifurcation Delay: the DiscreteCase.- C. Baesens: Noise Effect on Dynamic Bifurcations:theCase of a Period-doubling Cascade.- E. Benoit: LinearDynamic Bifurcation with Noise.- A. Delcroix: A Tool for theLocal Study of Slow-fast Vector Fields: the Zoom.- S.N.Samborski: Rivers from the Point ofView of the QualitativeTheory.- F. Blais: Asymptotic Expansions of Rivers.-I.P.van den Berg: Macroscopic Rivers

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Contenuti

Dynamic bifurcations.- Slow passage through bifurcation and limit points. Asymptotic theory and applications.- Formal expansion of van der pol equation canard solutions are gevrey.- Finitely differentiable ducks and finite expansions.- Overstability in arbitrary dimension.- Maximal delay.- Existence of bifurcation delay: The discrete case.- Noise effect on dynamic bifurcations: The case of a period-doubling cascade.- Linear dynamic bifurcation with noise.- A tool for the local study of slow-fast vector fields: The zoom.- Rivers from the point of view of the qualitative theory.- Asymptotic expansions of rivers.- Macroscopic rivers.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer Berlin Heidelberg
Data di pubblicazione
2010
Lingua
Inglese
ISBN 10 
3540549005
ISBN 13 
9783540549000
Rilegatura
Copertina flessibile
Numero di pagine
232
Redattore
Benoit Eric
Contatto del produttore
non disponibile
Persona responsabile
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