Differentiable Dynamical Systems: An Introduction to Structural Stability and Hyperbolicity
Lan Wen
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Description for Differentiable Dynamical Systems: An Introduction to Structural Stability and Hyperbolicity
Hardback. Series: Graduate Studies in Mathematics. Num Pages: 199 pages, illustrations. BIC Classification: PBKJ. Category: (G) General (US: Trade). Dimension: 188 x 262 x 16. Weight in Grams: 526.
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 -stability theorem of Smale. While the content is rather standard, a ... Read more
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 -stability theorem of Smale. While the content is rather standard, a ... Read more
Product Details
Format
Hardback
Publication date
2016
Publisher
American Mathematical Society
Condition
New
Series
Graduate Studies in Mathematics
Number of Pages
199
Place of Publication
Providence, United States
ISBN
9781470427993
SKU
V9781470427993
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Lan Wen
Lan Wen, Peking University, Beijing, China.
Reviews for Differentiable Dynamical Systems: An Introduction to Structural Stability and Hyperbolicity
This book introduces the reader to some basic concepts of hyperbolic theory of dynamical systems with emphasis on structural stability. It is well written, the proofs are presented with great attention to details, and every chapter ends with a good collection of exercises. It is suitable for a semester-long course on the basics of dynamical systems . - Yakov ... Read more