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MARC 21

Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems
Tag Description
020$a9780857291127
082$a515.39
082$a515.48
099$aOnline Resource : Springer
100$aHaragus, Mariana.
245$aLocal Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems$h[Ebook]$cby Mariana Haragus, Gérard Iooss
260$aLondon$bSpringer$c2011.
300$aXI, 329 pages$bonline resource.
336$atext
338$aonline resource
440$aUniversitext
505$aElementary Bifurcations -- Center Manifolds -- Normal Forms -- Reversible Bifurcations -- Applications -- Appendix.
520$aAn 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.
538$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
700$aIooss, Gérard.$eauthor.
710$aSpringerLink (Online service)
830$aUniversitext
856$uhttp://dx.doi.org/10.1007/978-0-85729-112-7
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