Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows. (Q2490796)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows. |
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Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows. (English)
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18 May 2006
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The authors prove that the mechanical system consisting of a geodesic flow in a manifold plus a time quasi-periodic potential possesses orbits of unbounded energy, provided that the geodesic flow and the potential satisfy some mild nondegeneracy assumptions.
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geodesic flow
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scattering map
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Arnold diffusion
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Poincaré map
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KAM theory
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Melnikov theory
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