Dynamical Systems (NDNS+)
||8 credit points
||Homburg, A.J. (Universiteit van Amsterdam), Rink, B. (Vrije Universiteit)
||The aim of this course is to introduce concepts, examples, results and techniques for studying smooth dynamical systems generated by ordinary differential equations or maps.
Subjects that will be treated in detail are:
-- dynamics near equilibria and periodic orbits: linearization, local stability, Floquet theory.
--bifurcation theory: normal forms, Lyapunov-Schmidt reduction, saddle-node, period-doubling and Hopf bifurcation.
-- invariant manifolds: stable manifold theorem, center manifolds
-- hyperbolic dynamics: Smale horseshoe, basic sets, structural stability
||2x45 min lectures + 45 min exercise session per week
||Home work and a written exam
Dynamical Systems. Stability, symbolic dynamics, and chaos. CRC Press, 1999.
||Bachelor course on ordinary differential equations.