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

• Main Authors: Haragus, Mariana (Author), Iooss, Gérard (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2011.
• Series: Universitext
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Statistical physics.; Dynamical Systems and Ergodic Theory.; Ordinary Differential Equations.; Partial Differential Equations.; Applications of Mathematics.; Nonlinear Dynamics.

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 differenti...

Table of Contents:

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