Chaotic Behaviour of Deterministic Systems

Preface. Courses: 1. Introduction to the mathematical theory of dynamical systems (O.E. Lanford III). 2. Numerical exploration of Hamiltonian systems (M. Henon). 3. Semi-classical mechanics of regular and irregular motion (M.V. Berry). 4. Bifurcation de diffeomorphismes de R 2 au voisanage de points fixes elliptiques (A. Chenciner). 5. Stability and bifurcation theory (D.D. Joseph). 6. The creation of non trivial recurrence in the dynamics of diffeomorphisms (S.E. Newhouse). Seminar: Generic properties of conservative systems (S.E. Newhouse). 7. Route to chaos with special emphasis on period doubling (J.P. Eckman, notes taken by R.S. MacKay). 8. Non-linear problems in ecology and resource management (R.M. May). 9. Maps of an interval (M. Misiurewicz). 10. Laboratory experiments on the transition to chaos (J.P. Gollub and A. Libchaber). 11. Models for intermittency (Y. Pomeau). 12. Hydrodynamic stability of shear flows (S.A. Orszag and A.T. Patera). 13. Fully developed turbulence and singularities (U. Frisch).