Data di Pubblicazione:
2016
Citazione:
An extensive resonant normal form for an arbitrary large Klein-Gordon model / S. Paleari, T. Penati. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 1618-1891. - 195:1(2016 Feb), pp. 133-165. [10.1007/s10231-014-0456-9]
Abstract:
We consider a finite but arbitrarily large Klein-Gordon chain, with periodic boundary conditions. In the limit of small couplings in the nearest neighbor interaction, and small (total or specific) energy, a high order resonant normal form is constructed with estimates uniform in the number of degrees of freedom.
In particular, the first order normal form is a generalized discrete nonlinear Schroedinger model, characterized by all-to-all sites coupling with exponentially decaying strength.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Extensivity; Resonant normal form; Klein–Gordon model; Anticontinuum limit; Thermodynamic limit; Generalized dNLS model
Elenco autori:
S. Paleari, T. Penati
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