Math 147a
 
Dynamical Systems
Fall 2014-15
 
MWF 10:00 AM // 159 Sloan
Course Description | Policies | Textbooks | Lecture Notes | Handouts | Homework | Sections

Instructor:  Gang Zhou, 384 Sloan, 626-395-4367, gang.zhou1@gmail.com
Office Hours: 
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Course Description
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We will study the following concepts: diffeomorphisms and flows on manifolds, ergodic theory, stable manifolds, structural stability. In this course, a dynamical system is either a (invertible or non-invertible) map f : X → X or a flow (or semi-flow) f(t): X → X.

The type of a dynamical system is determined by the structure of the space X (then f should preserve that structure):
topological, measure theoretical, smooth, holomorphic, etc. And we focus on the smooth case, so X = M is a manifold, and f is sufficiently smooth.

Textbooks:

Anatole Katok and Boris Hasselblatt,
Introduction to the Modern Theory of Dynamical Systems, Cambridge University Press.

Michael Brin and Garrett Stuck, Introduction to dynamical systems, Cambridge University Press.




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Textbooks
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Textbook:
Anatole Katok and Boris Hasselblatt, Introduction to the Modern Theory of Dynamical Systems, Cambridge University Press.

Michael Brin and Garrett Stuck, Introduction to dynamical systems, Cambridge University Press.


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Homework
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