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Portugaliae Mathematica


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Volume 65, Issue 4, 2008, pp. 431–445
DOI: 10.4171/PM/1820

Published online: 2008-12-31

(Quasi)periodic solutions in (in)finite dimensional Hamiltonian systems with applications to celestial mechanics and wave equation

Luca Biasco and Enrico Valdinoci[1]

(1) UniversitĂ  di Roma Tor Vergata, Italy

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.

Keywords: Nearly-integrable Hamiltonian systems, periodic solutions lower dimensional elliptic tori, N-body problem, wave equation

Biasco Luca, Valdinoci Enrico: (Quasi)periodic solutions in (in)finite dimensional Hamiltonian systems with applications to celestial mechanics and wave equation. Port. Math. 65 (2008), 431-445. doi: 10.4171/PM/1820