Absolutely convergent series expansions for quasi periodic motions.
Eliasson, L.H. (1996)
Mathematical Physics Electronic Journal [electronic only]
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Displaying similar documents to “On classical series expansions for quasi-periodic motions.”
Absolutely convergent series expansions for quasi periodic motions.
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The aim of this talk is to present some recent existence results about quasi-periodic solutions for PDEs like nonlinear wave and Schrödinger equations in , , and the - derivative wave equation. The proofs are based on both Nash-Moser implicit function theorems and KAM theory.
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Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We prove, under suitable non-resonance and non-degeneracy “twist” conditions, a Birkhoff-Lewis type result showing the existence of infinitely many periodic solutions, with larger and larger minimal period, accumulating onto elliptic invariant tori (of hamiltonian systems). We prove the applicability of this result to the spatial planetary three-body problem in the small eccentricity-inclination regime. Furthermore, we find other periodic orbits under some restrictions on the period...