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

Buch | Softcover
329 Seiten
2010
Springer London Ltd (Verlag)
978-0-85729-111-0 (ISBN)

Lese- und Medienproben

Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems - Mariana Haragus, Gérard Iooss
80,24 inkl. MwSt
Starting with the simplest bifurcation problems arising for ordinary differential equations in one- and two-dimensions, this book describes tools from the theory of infinite dimensional dynamical systems, allowing the reader to treat more complicated problems.
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.

Elementary Bifurcations.- Center Manifolds.- Normal Forms.- Reversible Bifurcations.- Applications.- Appendix.

Erscheint lt. Verlag 8.12.2010
Reihe/Serie Universitext
Zusatzinfo XI, 329 p.
Verlagsort England
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Mechanik
ISBN-10 0-85729-111-4 / 0857291114
ISBN-13 978-0-85729-111-0 / 9780857291110
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Eine Einführung in die Systemtheorie

von Margot Berghaus

Buch | Softcover (2022)
UTB (Verlag)
25,00