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Dynamic Bifurcations: Proceedings of a Conference held in Luminy, France, March 5-10, 1990 (Lecture Notes in Mathematics (1493)) free ebook download

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Author(s):	Eric Benoit

Date:	1991	Format:	djvu	Language:	English	ISBN/ASIN:	3540549005
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	tvladb77	Upload Date:	4/28/2022 10:14:33 PM

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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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Dynamic Bifurcations: Proceedings of a Conference held in Luminy, France, March 5-10, 1990 (Lecture Notes in Mathematics (1493)) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics