Differentiable Dynamical Systems: An Introduction to Structural Stability and Hyperbolicity (Graduate Studies in Mathematics) - Hardcover

Wen, Lan

 
9781470427993: Differentiable Dynamical Systems: An Introduction to Structural Stability and Hyperbolicity (Graduate Studies in Mathematics)
Hardcover
ISBN 10: 1470427990 ISBN 13: 9781470427993
Publisher: 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.

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About the Author

Lan Wen, Peking University, Beijing, China.

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2016
Language
English
ISBN 10 
1470427990
ISBN 13 
9781470427993
Binding
Hardcover
Number of pages
192