Artículos de revistas
Julia sets for Fibonacci endomorphisms of (2)
Fecha
2018-01-01Registro en:
Dynamical Systems-an International Journal. Abingdon: Taylor & Francis Ltd, v. 33, n. 4, p. 622-645, 2018.
1468-9367
10.1080/14689367.2017.1417975
WOS:000448734500005
Autor
Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
Institución
Resumen
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.