Generic Hamiltonian Dynamics
Dynamical Systems
2015-02-13 v2
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.
Cite
@article{arxiv.1203.3849,
title = {Generic Hamiltonian Dynamics},
author = {Mario Bessa and Celia Ferreira and Jorge Rocha and Paulo Varandas},
journal= {arXiv preprint arXiv:1203.3849},
year = {2015}
}
Comments
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