de Carvalho, A.
Total Authors: 3
 Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, Sao Paulo - Brazil
 Univ Estadual Paulista, Dept Matemat Aplicada, Sao Jose Do Rio Preto - Brazil
Total Affiliations: 2
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL;
Web of Science Citations:
We study the dynamics of the family f(c)(x, y)= (xy + c, x) of endomorphisms of , where c is a real parameter. We investigate several topological properties of the forward and backward filled Julia sets. Then, through the study of adapted dynamical filtrations of the plane, we prove that for the interval of parameters given by 0 < c <, these two filled Julia sets can be described explicitly as finite unions of invariant manifolds. (AU)