(Quasi)periodic solutions in (in)finite dimensional Hamiltonian systems with applications to celestial mechanics and wave equation (Q959456)
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scientific article; zbMATH DE number 5381760
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | (Quasi)periodic solutions in (in)finite dimensional Hamiltonian systems with applications to celestial mechanics and wave equation |
scientific article; zbMATH DE number 5381760 |
Statements
(Quasi)periodic solutions in (in)finite dimensional Hamiltonian systems with applications to celestial mechanics and wave equation (English)
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11 December 2008
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Summary: We describe a general method, based on a Lyapunov-Schmidt reduction and perturbative techniques, recently used by the authors to find periodic and quasi-periodic solutions both in finite- and in infinite-dimensional Hamiltonian systems. We also illustrate some concrete applications to celestial mechanics and nonlinear wave equation.
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nearly-integrable Hamiltonian systems
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periodic solutions lower-dimensional elliptic tori
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\(N\)-body problem
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wave equation
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