Non-collision periodic solutions for singular Hamiltonian systems (Q1890030)
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scientific article; zbMATH DE number 2123249
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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0.9621639
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0.94489497
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0.9370525
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0.9339105
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0.93371093
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0.9306643
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0.92869663
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