Normal forms and Sternberg conjugation theorems for infinite dimensional coupled map lattices
Dynamical Systems
2021-02-24 v1
Abstract
In this paper we present local Sternberg conjugation theorems near attracting fixed points for lattice systems. The interactions are spatially decaying and are not restricted to finite distance. The conjugations obtained retain the same spatial decay. In the presence of resonances the conjugations are to a polynomial normal form that also has decaying properties.
Cite
@article{arxiv.2012.13234,
title = {Normal forms and Sternberg conjugation theorems for infinite dimensional coupled map lattices},
author = {Ruben Berenguel and Ernest Fontich},
journal= {arXiv preprint arXiv:2012.13234},
year = {2021}
}
Comments
23 pages, to be published in Journal of Dynamics and Differential Equations