Differentiable Dynamical Systems: An Introduction to Structural Stability and Hyperbolicity - Couverture rigide

Wen, Lan

 
9781470427993: Differentiable Dynamical Systems: An Introduction to Structural Stability and Hyperbolicity
Couverture rigide
ISBN 10 : 1470427990 ISBN 13 : 9781470427993
Editeur : American Mathematical Society, 2016

Synopsis

This is a graduate text in differentiable dynamical systems. It focuses on structural stability and hyperbolicity, a topic that is central to the field. Starting with the basic concepts of dynamical systems, analyzing the historic systems of the Smale horseshoe, Anosov toral automorphisms, and the solenoid attractor, the book develops the hyperbolic theory first for hyperbolic fixed points and then for general hyperbolic sets. The problems of stable manifolds, structural stability, and shadowing property are investigated, which lead to a highlight of the book, the Ω-stability theorem of Smale.

While the content is rather standard, a key objective of the book is to present a thorough treatment for some tough material that has remained an obstacle to teaching and learning the subject matter. The treatment is straightforward and hence could be particularly suitable for self-study.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Lan Wen, Peking University, Beijing, China.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2016
Langue
anglais
ISBN 10 
1470427990
ISBN 13 
9781470427993
Reliure
Relié
Nombre de pages
192
Coordonnées du fabricant
non disponible
Personne responsable
non disponible