2 papers
math.DS2020
Normal forms and Sternberg conjugation theorems for infinite dimensional coupled map lattices
Ruben Berenguel, Ernest Fontich
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 fi…
math.DS2009
An entire transcendental family with a persistent Siegel disc
Ruben Berenguel, Nuria Fagella
We study the class of entire transcendental maps of finite order with one critical point and one asymptotic value, which has exactly one finite pre-image, and having a persistent S…