On Existences Of Periodic Orbits For Hamilton Systems

Details On Existences Of Periodic Orbits For Hamilton Systems On Existences Of Periodic Orbits For Hamilton Systems

2004-07-06

arxiv.org/abs/math/0407073v2

Mathematics

Symplectic Geometry

Scientific paper

We prove that either there exists at least one hamilton periodic orbit in a
given energy close smooth hypersurface or there exist at least two hamilton
periodic orbits in a near-by energy close smooth hypersurface. More general
results also hold.

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