Introduction to dynamical systems

Crédit : 6 ECTS
Langue du cours : anglais

Volume horaire

• CM : 30 h
• Volume horaire global (hors stage) : 30 h

Compétences à acquérir

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Description du contenu de l'enseignement

1. Examples of dynamical systems in discrete and continuous time (circle rotation, shift, hyperbolic dynamical system, horseshoe, flow, section and suspension, attractor)
2. 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)

Enseignant responsable

JACQUES FEJOZ

Enseignant responsable

ANNA FLORIO