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Closed orbits of Hamiltonian systems on non-compact prescribed energy surfaces

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Publication:1812317
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DOI10.3934/DCDS.2003.9.603zbMath1028.37036OpenAlexW2017288987MaRDI QIDQ1812317

Boughariou, Morched

Publication date: 15 January 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2003.9.603


zbMATH Keywords

periodic solutionsapproximate solutionsvariational methodscritical pointsMorse indexHamiltonian systemnon-compact energy surfaceblow-up argument


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)


Related Items (2)

Nonconstant periodic solutions with any fixed energy for singular Hamiltonian systems ⋮ Infinitely many non-constant periodic solutions with negative fixed energy for Hamiltonian systems







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