Online Library TheLib.net » Differentiable Dynamical Systems: An Introduction to Structural Stability and Hyperbolicity
cover of the book Differentiable Dynamical Systems: An Introduction to Structural Stability and Hyperbolicity

Ebook: Differentiable Dynamical Systems: An Introduction to Structural Stability and Hyperbolicity

Author: Lan Wen

00
13.02.2024
0
0
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 OMEGA-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.
Download the book Differentiable Dynamical Systems: An Introduction to Structural Stability and Hyperbolicity for free or read online
Read Download
Continue reading on any device:
QR code
Last viewed books
Related books
Comments (0)
reload, if the code cannot be seen