Téléchargez le livre : Ordinary Differential Equations and Dynamical Systems

Ordinary Differential Equations and Dynamical Systems



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Éditeur :

Atlantis Press


Paru le : 2013-10-17



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Description
This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book is devoted to the development of the basic theory: linear systems, existence and uniqueness of solutions to the initial value problem, flows, stability, and smooth dependence of solutions upon initial conditions and parameters. Much of this theory also serves as the paradigm for evolutionary partial differential equations. The second half of the book is devoted to geometric theory: topological conjugacy, invariant manifolds, existence and stability of periodic solutions, bifurcations, normal forms, and the existence of transverse homoclinic points and their link to chaotic dynamics. A common thread throughout the second part is the use of the implicit function theorem in Banach space. Chapter 5, devoted to this topic, the serves as the bridge between the two halves of the book.
Pages
225 pages
Collection
n.c
Parution
2013-10-17
Marque
Atlantis Press
EAN papier
9789462390201
EAN EPUB
9789462390218
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
22
Taille du fichier
5274 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
89,66 €

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