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Near the Hamiltonian \(H=\sum ^{n-1}_{j=1}(p^ 2_ j+q^ 2_ j)+(p^ 2_ n+q^ 2_ n)\) - MaRDI portal

Near the Hamiltonian \(H=\sum ^{n-1}_{j=1}(p^ 2_ j+q^ 2_ j)+(p^ 2_ n+q^ 2_ n)\) (Q1081165)

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scientific article; zbMATH DE number 3969709
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English
Near the Hamiltonian \(H=\sum ^{n-1}_{j=1}(p^ 2_ j+q^ 2_ j)+(p^ 2_ n+q^ 2_ n)\)
scientific article; zbMATH DE number 3969709

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    Near the Hamiltonian \(H=\sum ^{n-1}_{j=1}(p^ 2_ j+q^ 2_ j)+(p^ 2_ n+q^ 2_ n)\) (English)
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    1985
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    Sufficient conditions guaranteeing the existence of at least n distinct periodic solutions of the Hamiltonian system under consideration on the energy surface of the Hamiltonian are obtained in the paper.
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    periodic solutions
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    Hamiltonian system
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