Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems

An extension of different lectures given by the authors, Local Bifurcations, Center Manifolds, and Normal Forms in Infinite Dimensional Dynamical Systems provides the reader with a comprehensive overview of these topics. Starting with the simplest bifurcation problems arising for ordinary differenti...

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Dades bibliogràfiques
Autors principals: Hărăgu—s, Mariana, 19..-, Iooss, Gérard, 1944- (Autor), Iooss, Gérard (Autor)
Format: Livre numérique
Idioma:Anglais
Publicat: London : Springer London [20..].
Cham : Springer Nature
Edició:1st ed. 2011.
Col·lecció:Universitext
Matèries:
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Nota: Description d'après consultation du 24 avril 2012
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Edition sous un autre format:• Local bifurcations, center manifolds, and normal forms in Infinite dimensional dynamical systems, Mariana Haragus, Gérard Iooss, London, Springer, EDP Sciences, 2011, 1 vol. (XI-329 p.), Universitext, 978-0-85729-111-0
• Local bifurcations, center manifolds, and normal forms in Infinite dimensional dynamical systems, Mariana Haragus, Gérard Iooss, London, Springer, EDP Sciences, 2011, 1 vol. (XI-329 p.), Universitext, 978-0-85729-111-0
• Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems, Texte imprimé, 9780857291134
Descripció
Sumari:An extension of different lectures given by the authors, Local Bifurcations, Center Manifolds, and Normal Forms in Infinite Dimensional Dynamical Systems provides the reader with a comprehensive overview of these topics. Starting with the simplest bifurcation problems arising for ordinary differential equations in one- and two-dimensions, this book describes several tools from the theory of infinite dimensional dynamical systems, allowing the reader to treat more complicated bifurcation problems, such as bifurcations arising in partial differential equations. Attention is restricted to the study of local bifurcations with a focus upon the center manifold reduction and the normal form theory; two methods that have been widely used during the last decades. Through use of step-by-step examples and exercises, a number of possible applications are illustrated, and allow the less familiar reader to use this reduction method by checking some clear assumptions. Written by recognised experts in the field of center manifold and normal form theory this book provides a much-needed graduate level text on bifurcation theory, center manifolds and normal form theory. It will appeal to graduate students and researchers working in dynamical system theory
Descripció de l’ítem:Description d'après consultation du 24 avril 2012
Archives Springer e-books (Licence nationale)
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Bibliografia:Bibliogr. p. 320-325 Index p. 326-328
ISBN:9780857291127
ISSN:2191-6675
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