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Dynamical Systems (NDNS+)
| Credits |
8 credit points |
| Instructors |
Homburg, A.J. (Universiteit van Amsterdam), Rink, B. (Vrije Universiteit) |
| E-mail |
a.j.homburg@uva.nl, b.w.rink@vu.nl |
| Aim |
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. |
| Description |
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
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| Organization |
2x45 min lectures + 45 min exercise session per week |
| Examination |
Home work and a written exam |
| Literature |
Clark Robinson.
Dynamical Systems. Stability, symbolic dynamics, and chaos. CRC Press, 1999. |
| Prerequisites |
Bachelor course on ordinary differential equations. |
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