Artículos de revistas
Filled Julia set of some class of Hénon-like maps
Fecha
2020-01-02Registro en:
Dynamical Systems, v. 35, n. 1, p. 156-183, 2020.
1468-9375
1468-9367
10.1080/14689367.2019.1663790
2-s2.0-85073827491
Autor
Universidade Estadual Paulista (Unesp)
Institución
Resumen
In this work we consider a class of endomorphisms of R2 defined by f (x, y) = (xy + c, x), where c ∈ R is a real number and we prove that when −1 < c < 0, the forward filled Julia set of f is the union of stable manifolds of fixed and 3− periodic points of f. We also prove that the backward filled Julia set of f is the union of unstable manifolds of the saddle fixed and 3− periodic points of f.