On Existences Of Periodic Orbits For Hamilton Systems
classification
🧮 math.SG
math.DS
keywords
hamiltonperiodiccloseenergyhypersurfaceleastorbitssmooth
read the original abstract
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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