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Subharmonic solutions of Hamiltonian systems - MaRDI portal

Subharmonic solutions of Hamiltonian systems (Q1576558)

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scientific article; zbMATH DE number 1491645
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Subharmonic solutions of Hamiltonian systems
scientific article; zbMATH DE number 1491645

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    Subharmonic solutions of Hamiltonian systems (English)
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    22 March 2001
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    Using the saddle point theorem and Maslov-type index for linking critical points, several results of existence for subharmonic solutions of periodic Hamiltonian systems are proved. These results appear as generalizations of similar properties from \textit{I. Ekeland} and \textit{H. Hofer} [Commun. Pure Appl. Math. 40, 1-36 (1987; Zbl 0601.58035)] but without the convexity condition.
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    subharmonic solution for Hamiltonian systems
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    Maslov-type index
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