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laboutique.edpsciences.fr-000491 03 01 01 000491 03 9782759800094 15 9782759800094 00 BA 02 1 mm 01 1 mm 08 1 gr 10 01 02 Universitext Co-édition SPRINGER-EDP Sciences sur les maths (titres de la Collection Savoirs Actuels). 01 01 Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems 1 A01 01 A687 Mariana Haragus Haragus, Mariana Mariana Haragus 2 A01 01 A1170 Gérard Iooss Iooss, Gérard Gérard Iooss Etudiant à École polytechnique de 1964 à 1966, il entre ensuite à l'Office national d'études et de recherches aérospatiales. À partir de 1972, il est enseignant à l'Université Paris-Sud et puis à l'Université de Nice. De 1970 jusqu'en 1985, il est Maître de conférences à l'École polytechnique. Il est intervenant auprès de l'Université du Minnesota (1977-1978), auprès de l'Université de Californie (1978) et à l'Université de Stuttgart (1990, 1995, 1997) où il travaille avec Klaus Kirchgässner. A student at the École Polytechnique from 1964 to 1966, he then joined the National Office for Aerospace Studies and Research. From 1972, he taught at the University of Paris-Sud and then at the University of Nice. From 1970 until 1985, he was a lecturer at the École polytechnique. He was a lecturer at the University of Minnesota (1977-1978), at the University of California (1978) and at the University of Stuttgart (1990, 1995, 1997) where he worked with Klaus Kirchgässner. 1 01 eng 00 329 03 24 Izibook:Subject Mathématiques 24 Izibook:SubjectAndCategoryAndTags |Mathématiques| 10 2011 MAT000000 29 3052 01 510 06 05 00 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 bifurcations 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 bifurcations 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 decade. Trough 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. 03 00 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 bifurcations 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 bifurcations 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 decade. Trough 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. 02 00 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 bifurcations problems arising for ordinary differential equations in one and two-dimensions, this ... 21 00 06 01 https://laboutique.edpsciences.fr/produit/491/9782759800094/local-bifurcations-center-manifolds-and-normal-forms-in-infinite-dimensional-dynamical-systems 01 00 03 02 https://laboutique.edpsciences.fr/system/product_pictures/data/009/981/934/original/00094_couvHD.jpg 17 14 20240913T172433+0200 01 P1 EDP Sciences 01 01 P1 EDP Sciences 17 avenue du Hoggar - PA de Courtaboeuf - 91944 Les Ulis cedex A http://publications.edpsciences.org/ 04 01 00 20110101 19 00 20110101 2026 06 3052868830012 01 WORLD WORLD 08 EDP Sciences 04 01 00 20110101 03 01 D1 EDP Sciences 21 04 05 01 02 1 00 63.25 01 5.50 3.30 EUR