Dynamical Systems

10 credits

Course, Master's level, 1MA217

Autumn 2023 Autumn 2023, Uppsala, 33%, On-campus, English Only available as part of a programme

Autumn 2023 Autumn 2023, Uppsala, 33%, On-campus, English For exchange students

About the course

An advanced course in the theory of dynamical systems. The course contains flows and maps, invariant manifolds, linearisation, stability, phase portraits, Poincaré maps, structural stability, symbolic dynamics, horseshoes and invariant hyperbolic sets, Sharkovsky's theorem, conjugation, bifurcation theory, stable and unstable manifolds, homo- and heteroclinic phenomena, hyperbolicity, chaos and sensitive dependence on initial values, strange attractors.

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