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Introduction to dynamical systems
ECTS : 6
Volume horaire : 30
Description du contenu de l'enseignement :
- Examples of dynamical systems in discrete and continuous time (circle rotation, shift, hyperbolic dynamical system, horseshoe, flow, section and suspension, attractor)
- Topological dynamics, circle homeomorphisms and Poincaré classification, hyperbolic dynamics (geodesic flow, horocyclic flow)
Bibliographie, lectures recommandées :
- V.I. Arnold, Ordinary differential equations (contains prerequisite matters)
- V.I. Arnold, Geometric methods in the theory or ordinary differential equations (further reading)
- M. Brin and G. Stuck, Introduction to dynamical systems (great introduction to the field)
Université Paris Dauphine - PSL - Place du Maréchal de Lattre de Tassigny - 75775 PARIS Cedex 16 - 21/11/2024