Generic Hamiltonian Dynamics

Abstract

In this paper we contribute to the generic theory of Hamiltonians by proving that there is a C2-residual R in the set of C2 Hamiltonians on a closed symplectic manifold M, such that, for any H in R, there is a full measure subset of energies e in H(M) such that the Hamiltonian level (H,e) is topologically mixing; moreover these level sets are homoclinic classes.

14 pages, 1 figure. This version is a major revision of the previous one, including corrections flaws in some proof and adding more general results

Cited by in corpus (2)

• Shades of Hyperbolicity for Hamiltonians
• Arnold diffusion in nearly integrable Hamiltonian systems of arbitrary degrees of freedom