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Hyperbolic Dynamics

Program

- Dynamical Systems: Vector fields; Differential equations; Local flow; Discretisation; Difference equations; Suspension.
- Invariant sets; Limit sets; Transitivity; Structural stability.
- Local behaviour: Local stability; Invariant manifolds; Homoclinic Points.
- Global dynamics: global invariant manifolds.
- Examples (some of these): Linear dynamics; Symbolic dynamics; Smale Horseshoe; Axiom A; Anosov diffeomorphisms; Kupka-Smale diffeomorphisms; Morse-Smale difeomorphisms.

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