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Feldname	Details
Dewey Class	515.39
Dewey Class	515.48
Titel	Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems ([Ebook]) / by Mariana Haragus, Gérard Iooss
Verfasser	Haragus, Mariana
Added Personal Name	Iooss, Gérard
Other name(s)	SpringerLink (Online service)
Veröffentl	London : Springer , 2011.
Physical Details	XI, 329 pages : online resource.
Reihe	Universitext
ISBN	9780857291127
Summary Note	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.:
Contents note	Elementary Bifurcations -- Center Manifolds -- Normal Forms -- Reversible Bifurcations -- Applications -- Appendix.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-0-85729-112-7
LINKS ZU 'VERWANDTEN WERKEN	Schlagwörter: . Applications of Mathematics . Differentiable dynamical systems . Differential equation . Differential equations, Partial . Dynamical systems and ergodic theory . Nonlinear Dynamics . Ordinary differential equations . Partial differential equations . Authors: author . Haragus, Mariana . Iooss, Gérard . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 515.39 . 515.48 . 515.39 (DDC 23) .

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Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems

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