Math 119 A,B, Syllabus
Ordinary Differential Equations, Chaotic Dynamics and Bifurcation Theory

• Existence, Uniqueness and Stability
• The Geometry of Phase Space
• Linear Systems and Hyperbolicity
• Maps and Diffeomorphisms
• Hyperbolic Structure and Chaos
• Center Manifolds
• Bifurcation Theory
• The Feigenbaum and Ruelle-Takens cascades to strange attractors

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