Homoclinic trajectories of invariant sets of Hamiltonian systems (Q1363127)
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scientific article; zbMATH DE number 1048834
| Language | Label | Description | Also known as |
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| English | Homoclinic trajectories of invariant sets of Hamiltonian systems |
scientific article; zbMATH DE number 1048834 |
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Homoclinic trajectories of invariant sets of Hamiltonian systems (English)
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12 March 1998
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This paper considers positive definite time-periodic Hamiltonian systems. The author reviews the conditions on equilibria (i.e., local maxima of the potential energy) which guarantee the existence of homoclinic trajectories. He then uses variational methods to establish that similar conditions on Mather sets also guarantee the existence of homoclinic orbits.
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periodic Hamiltonian systems
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homoclinic trajectories
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Mather sets
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