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arXiv · 1404.2730

An extensive resonant normal form for an arbitrary large Klein-Gordon model

Simone Paleari·Tiziano Penati
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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.

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Simone Paleari, Tiziano Penati. 2014-04-10. An extensive resonant normal form for an arbitrary large Klein-Gordon model. https://doi.org/10.1007/s10231-014-0456-9

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