ON THE FIBONACCIC OMPLEX DYNAMICAL SYSTEMS
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Data
2016-05-01
Autores
El Abdalaoui, El Houcein
Bonnot, Sylvain
Messaoudi, Ali [UNESP]
Sester, Olivier
Título da Revista
ISSN da Revista
Título de Volume
Editor
Amer Inst Mathematical Sciences-aims
Resumo
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.
Descrição
Palavras-chave
Julia sets, complex dynamics, holomorphic motion, quasi-circle, endomorphisms of C-2
Como citar
Discrete And Continuous Dynamical Systems. Springfield: Amer Inst Mathematical Sciences-aims, v. 36, n. 5, p. 2449-2471, 2016.