Non-collision periodic solutions for singular Hamiltonian systems (Q1890030)

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scientific article; zbMATH DE number 2123249
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Non-collision periodic solutions for singular Hamiltonian systems
scientific article; zbMATH DE number 2123249

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    Non-collision periodic solutions for singular Hamiltonian systems (English)
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    16 December 2004
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    The author proves the existence of a periodic solution to a singular Hamiltonian system with a singularity which can be either of noncollision type or can collide at most once in a period. Thus, he generalizes previous results known for second order differential systems. The proof is based on variational methods, and a careful estimate of the Morse index.
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    singular Hamiltonian systems
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    noncollision
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