Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Paleari, Simone"'
Publikováno v:
Physica D: Nonlinear Phenomena 463 (2024) 134183
In the framework of nonlinear Hamiltonian lattices, we revisit the proof of Moser-Darboux's Theorem, in order to present a general scheme for its constructive applicability to Hamiltonian models with non-standard symplectic structures. We take as a g
Externí odkaz:
http://arxiv.org/abs/2405.04205
We consider the problem of the continuation with respect to a small parameter $\epsilon$ of spatially localised and time periodic solutions in 1-dimensional dNLS lattices, where $\epsilon$ represents the strength of the interaction among the sites on
Externí odkaz:
http://arxiv.org/abs/2109.06066
We consider the classical problem of the continuation of periodic orbits surviving to the breaking of invariant lower dimensional resonant tori in nearly integrable Hamiltonian systems. In particular we extend our previous results (presented in CNSNS
Externí odkaz:
http://arxiv.org/abs/2005.11859
In this paper we consider a discrete Klein-Gordon (dKG) equation on $\ZZ^d$ in the limit of the discrete nonlinear Schrodinger (dNLS) equation, for which small-amplitude breathers have precise scaling with respect to the small coupling strength $\eps
Externí odkaz:
http://arxiv.org/abs/1905.11647
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation May 2022 108
Autor:
Bambusi, Dario, Paleari, Simone
Publikováno v:
AIMS Mathematics (2473-6988); 2024, Vol. 9 Issue 8, p23012-23026, 15p
Autor:
Paleari, Simone, Penati, Tiziano
In the limit of small couplings in the nearest neighbor interaction, and small total energy, we apply the resonant normal form result of a previous paper of ours to a finite but arbitrarily large mixed Fermi-Pasta-Ulam Klein-Gordon chain, i.e. with b
Externí odkaz:
http://arxiv.org/abs/1405.7841
Autor:
Paleari, Simone, Penati, Tiziano
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 construc
Externí odkaz:
http://arxiv.org/abs/1404.2730
We consider a system in which some high frequency harmonic oscillators are coupled with a slow system. We prove that up to very long times the energy of the high frequency system changes only by a small amount. The result we obtain is completely inde
Externí odkaz:
http://arxiv.org/abs/1402.0076
Publikováno v:
Annales Henri Poincar\'e (2015) Volume 16, Issue 4, pp 897-959
We construct an extensive adiabatic invariant for a Klein-Gordon chain in the thermodynamic limit. In particular, given a fixed and sufficiently small value of the coupling constant $a$, the evolution of the adiabatic invariant is controlled up to ti
Externí odkaz:
http://arxiv.org/abs/1310.2105