On invariant sets in Lagrangian graphs

Details On invariant sets in Lagrangian graphs On invariant sets in Lagrangian graphs

2009-11-30

arxiv.org/abs/0911.5720v3

Mathematics

Dynamical Systems

4 pages

Scientific paper

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.

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