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

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