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Periodic solutions of Hamiltonian systems on hypersurfaces in a torus

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Abstract

The existence of periodic solutions to Hamiltonian systems on the symplectic manifold (T 2n, ω) is studied. We show that on a class of hypersurfaces in the torusT 2n there is a periodic solution, which generalizes the results due to Long and Zehnder.

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Authors and Affiliations

  1. Department of Mathematics, Peking University, 100871, Beijing, P.R. China

    Mei-Yue Jiang

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  1. Mei-Yue Jiang
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Supported by NNSF of China

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Jiang, MY. Periodic solutions of Hamiltonian systems on hypersurfaces in a torus. Manuscripta Math 85, 307–321 (1994). https://doi.org/10.1007/BF02568201

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  • DOI: https://doi.org/10.1007/BF02568201

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