On invariant sets in Lagrangian graphs
Dynamical Systems
2015-05-14 v3
Abstract
In this exposition, we show that a Hamiltonian is always constant on a compact invariant connected subset which lies in a Lagrangian graph provided that the Hamiltonian and the graph are smooth enough. We also provide some counterexamples for the case that the Hamiltonians are not smooth enough.
Keywords
Cite
@article{arxiv.0911.5720,
title = {On invariant sets in Lagrangian graphs},
author = {Xiaojun Cui and Lei Zhao},
journal= {arXiv preprint arXiv:0911.5720},
year = {2015}
}
Comments
4 pages