EDP Sciences
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20241114
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000491
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9782759800094
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Universitext
Co-édition SPRINGER-EDP Sciences sur les maths (titres de la Collection Savoirs Actuels).
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Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems
1
A01
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A687
Mariana Haragus
Haragus, Mariana
Mariana
Haragus
2
A01
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A1170
Gérard Iooss
Iooss, Gérard
Gérard
Iooss
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.
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01
eng
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329
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24
Izibook:Subject
Mathematics
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Izibook:SubjectAndCategoryAndTags
|Mathematics|
10
2011
MAT000000
29
3052
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510
06
05
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<p>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.</p> <p>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. </p> <p>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.</p>
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<p>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.</p> <p>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. </p> <p>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.</p>
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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 ...
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