Orbits homoclinic to resonances: The Hamiltonian case (Q1313339)
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scientific article; zbMATH DE number 490707
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orbits homoclinic to resonances: The Hamiltonian case |
scientific article; zbMATH DE number 490707 |
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Orbits homoclinic to resonances: The Hamiltonian case (English)
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26 January 1994
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The authors consider a Hamiltonian two-degree-of-freedom system which is integrable and has a two-dimensional normally hyperbolic invariant manifold filled with periodic orbits. For perturbations of the system they establish an energy-phase criterion which gives a complete picture of the dynamics associated with orbits homoclinic to the resonance.
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Hamiltonian two-degree-of-freedom system
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integrable
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two-dimensional normally hyperbolic invariant manifold
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periodic orbits
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perturbations
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energy-phase criterion
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homoclinic
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resonance
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