| Full text | |
| Author(s): |
Total Authors: 4
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| Affiliation: | [1] Univ Rouen, Normandy Univ, Dept Math, LMRS, UMR 60 85, F-76801 St Etienne - France
[2] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, SP - Brazil
[3] Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[4] Univ Paris Est, UMR 8050, CNRS, UPEMLV, F-77454 Marne La Vallee - France
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 36, n. 5, p. 2449-2471, MAY 2016. |
| Web of Science Citations: | 2 |
| Abstract | |
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. (AU) | |
| FAPESP's process: | 13/24541-0 - Ergodic and qualitative theory of dynamical systems |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 07/06896-5 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Luiz Antonio Barrera San Martin |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 11/23199-1 - Dynamics of endomofisms of C2 and Julia sets |
| Grantee: | André Salles de Carvalho |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |