Hyperbolicity and Stability for Hamiltonian flows
Dynamical Systems
2013-04-16 v1
Abstract
We prove that a Hamiltonian star system, defined on a 2d-dimensional symplectic manifold M, is Anosov. As a consequence we obtain the proof of the stability conjecture for Hamiltonians. This generalizes the 4-dimensional results in [6].
Cite
@article{arxiv.1204.1161,
title = {Hyperbolicity and Stability for Hamiltonian flows},
author = {M. Bessa and M. J. Torres and J. Rocha},
journal= {arXiv preprint arXiv:1204.1161},
year = {2013}
}
Comments
16 pages