Search:
CDS Central
CDS Home
Division
Caltech
[Login]
Research & Teaching
·
Courses
Resources
·
FAQ
·
Wiki
·
Web Mail
·
Mailing Lists
·
Web Folders
·
Projects
Search
Title:
CDS 140b Winter 2005: Lectures
Author:
bhat
Submitted:
January 11th, 2005
Topic:
Courses
Class:
Caltech Public
CDS 140b -- Winter 2005
Lecture Notes
Lecture 1b (posted 1/11)
Lecture 2a (posted 1/11)
Lecture Notes for Week 3 (posted 1/14)
Lecture Notes for Weeks 4-5: Bifurcation Theory
Center manifold theory
Bifuration of fixed points
Normal form theory
Hopf bifurcation
Lecture Notes for Weeks 6-7: Hamiltonian Dynamical Systems
Introduction to Hamiltonian systems
Discussion on KAM theorem
Discussion on KAM theorem and chaos in Hamiltonian systems
Lecture Notes for Weeks 8-9: Introduction to Chaos
Chaotic dynamics near transverse homoclinic points
Introduction to chaos and symbolic dynamics
Smale horseshoe and Conley-Moser conditions
CDS 140b Main Page