120 credits including 90 credits in mathematics. Participation in Real Analysis. Proficiency in English equivalent to the Swedish upper secondary course English 6.
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.