Persistence of Hyperbolic Tori in Generalized Hamiltonian Systems
Dynamical Systems
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
In this paper we prove the persistence of hyperbolic invariant tori in generalized Hamiltonian systems, which may admit a distinct number of action and angle variables. The systems under consideration can be odd dimensional in tangent direction. Our results generalize the well-known results of Graff and Zehnder in standard Hamiltonians. In our case the unperturbed Hamiltonian systems may be degenerate. We also consider the persistence problem of hyperbolic tori on sub-manifolds.
Keywords
Cite
@article{arxiv.math/0610641,
title = {Persistence of Hyperbolic Tori in Generalized Hamiltonian Systems},
author = {Zhenxin Liu and Dalai Yihe and Qingdao Huang},
journal= {arXiv preprint arXiv:math/0610641},
year = {2007}
}
Comments
LaTeX, 17 pages