Artículos de revistas
ON THE FIBONACCIC OMPLEX DYNAMICAL SYSTEMS
Fecha
2016-05-01Registro en:
Discrete And Continuous Dynamical Systems. Springfield: Amer Inst Mathematical Sciences-aims, v. 36, n. 5, p. 2449-2471, 2016.
1078-0947
10.3934/dcds.2016.36.2449
WOS:000365616000005
Autor
Univ Rouen
Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
Univ Paris Est
Institución
Resumen
We consider in this paper a sequence of complex analytic functions constructed by the following procedure integral(n) (z) = integral(n-1) (z) integral(n-2) (z) + c, where c is an element of C is a parameter. Our aim is to give a thorough dynamical study of this family, in particular we are able to extend the familiar notions of Julia sets and Green function and to analyze their properties. As a consequence, we extend some well-known results. Finally we study in detail the case where c is small.