2 papers
math-ph2005
Minimal configurations for Frenkel-Kontorova model on a quasicrystal
J-M. Gambaudo, P. Guiraud, S. Petite
In this paper, we consider the Frenkel-Kontorova model of a one dimensional chain of atoms submitted to a potential. This potential splits into an interaction potential and a poten…
nlin.CD2002
Route to chaotic synchronisation in coupled map lattices: Rigorous results
Bastien Fernandez, Pierre Guiraud
Two-dimensional mappings obtained by coupling two piecewise increasing expanding maps are considered. Their dynamics is described when the coupling parameter increases in the expan…