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

Mariana Haragus (1) , Gérard Iooss (2, 3)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
2 LJAD - Laboratoire Jean Alexandre Dieudonné
3 IUF - Institut universitaire de France

This book is an extension of different lectures given by the authors during many years at the University of Nice, at the University of Stuttgart in 1990, and the Uni- versity of Bordeaux in 2000 and 2001. Large parts of the first four chapters are of master level and contain various examples and exercises, partly posed at exams. However, the infinite-dimensional set-up in Chapter 2 requires several tools and results from the theory of linear operators. A brief description of these tools and results is given in Appendix A

Domaines: Mathématiques [math]

Mariana Haragus, Gérard Iooss. Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems. Springer; EDP Sciences, 2011, Universitext, 978-0-85729-112-7. ⟨hal-01325715⟩