Introduction:
Main tentative topics:
- Applications to celestial mechanics, space science, plasma physics, accelerators, etc
- Structure of the phase space of Hamiltonian and reversible systems
- Common features of Hamiltonian and reversible systems
- Differents features of Hamiltonian and reversible systems
- K.A.M. theory: invariant tori, invariant manifolds
- Splitting of separatrices
- Normal forms and bifurcations
- Numerical and symbolic tools for Hamiltonian and reversible systems
- Variational methods
- Detection and measure of the non-integrability
- Passage through resonance
- Arnold diffusion: Geometry and estimates
- Stability
- Transport in conservative and reversible systems |