### On classical series expansions for quasi-periodic motions.

Giorgilli, Antonio, Locatelli, Ugo (1997)

Mathematical Physics Electronic Journal [electronic only]

Similarity:

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

Giorgilli, Antonio, Locatelli, Ugo (1997)

Mathematical Physics Electronic Journal [electronic only]

Similarity:

Massimiliano Berti (2011-2012)

Séminaire Laurent Schwartz — EDP et applications

Similarity:

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 ${\mathbb{T}}^{d}$, $d\ge 2$, and the $1$-$d$ derivative wave equation. The proofs are based on both Nash-Moser implicit function theorems and KAM theory.

Massimiliano Berti, Michela Procesi (2005)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

Existence of quasi-periodic solutions with two frequencies of completely resonant, periodically forced, nonlinear wave equations with periodic spatial boundary conditions is established. We consider both the cases the forcing frequency is (Case A) a rational number and (Case B) an irrational number.

Carmen Chicone (1997)

Publicacions Matemàtiques

Similarity:

The response of an oscillator to a small amplitude periodic excitation is discussed. In particular, sufficient conditions are formulated for the perturbed oscillator to have an invariant torus in the phase cylinder. When such an invariant torus exists, some perturbed solutions are in the basin of attraction of this torus and are thus entrained to the dynamical behavior of the perturbed system on the torus. In particular, the perturbed solutions in the basin of attraction of the invariant...

Eliasson, L.H. (1998)

Documenta Mathematica

Similarity:

Póvoas, M. (1989)

Portugaliae mathematica

Similarity:

Nandor Simanyi (1989)

Banach Center Publications

Similarity:

Makay, Géza (2000)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Similarity:

Stanisław Sędziwy (1972)

Annales Polonici Mathematici

Similarity:

G. J. Butler (1974)

Annales Polonici Mathematici

Similarity:

J. Ligęza (1977)

Annales Polonici Mathematici

Similarity: