Symplectically degenerate maxima via generating functions
نویسندگان
چکیده
We provide a simple proof of a theorem due to Nancy Hingston, asserting that symplectically degenerate maxima of any Hamiltonian diffeomorphism φ of the standard symplectic 2d-torus are non-isolated contractible periodic points or their action is a non-isolated point of the average-action spectrum of φ. Our argument is based on generating functions.
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