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Dynamical systems on lattices with decaying interaction I: A functional analysis framework

Autor
Fontich Julia, Ernest; De La Llave, R.; Martin, P.
Tipus d'activitat
Article en revista
Revista
Journal of differential equations
Data de publicació
2011-03-15
Volum
250
Número
6
Pàgina inicial
2838
Pàgina final
2886
DOI
https://doi.org/10.1016/j.jde.2010.07.023 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/13230 Obrir en finestra nova
Resum
We consider weakly coupled map lattices with a decaying interaction. That is, we consider systems which consist of a phase space at every site such that the dynamics at a site is little affected by the dynamics at far away sites. We develop a functional analysis framework which formulates quantitatively the decay of the interaction and is able to deal with lattices such that the sites are manifolds. This framework is very well suited to study systematically invariant objects. One obtains that th...
Citació
Fontich, E.; De La Llave, R.; Martin, P. Dynamical systems on lattices with decaying interaction I: A functional analysis framework. "Journal of differential equations", 15 Març 2011, vol. 250, núm. 6, p. 2838-2886.
Grup de recerca
EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
SD - Sistemes Dinàmics de la UPC

Participants