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Periodic and heteroclinic orbits for a periodic Hamiltonian system - MaRDI portal

Periodic and heteroclinic orbits for a periodic Hamiltonian system (Q914214)

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scientific article; zbMATH DE number 4149191
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Periodic and heteroclinic orbits for a periodic Hamiltonian system
scientific article; zbMATH DE number 4149191

    Statements

    Periodic and heteroclinic orbits for a periodic Hamiltonian system (English)
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    1989
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    Der Autor betrachtet Hamiltonsche Systeme der Form \((1)\quad \ddot q+V'(q)=0,\) wobei \(q=(q_ 1,...,q_ n)\) und V periodisch in \(q_ i\), \(1\leq i\leq n\), ist. Es werden Kriterien angegeben, unter denen das System (1) nicht konstante periodische Lösungen besitzt, und die Form der Trajektorien in der Nähe von Maxima der Funktion V werden untersucht.
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    Hamiltonian system
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    periodic solution
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    heteroclinic solutions
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