El Abdalaoui, El HouceinBonnot, SylvainMessaoudi, Ali [UNESP]Sester, Olivier2018-11-262018-11-262016-05-01Discrete And Continuous Dynamical Systems. Springfield: Amer Inst Mathematical Sciences-aims, v. 36, n. 5, p. 2449-2471, 2016.1078-0947http://hdl.handle.net/11449/161007We 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.2449-2471engJulia setscomplex dynamicsholomorphic motionquasi-circleendomorphisms of C-2Artigo10.3934/dcds.2016.36.2449WOS:000365616000005Acesso restrito