On the inverse image set of rational functions

Acta Mathematica Scientia

Volumn 27, Issue 3, 2007, Pages 541-548

  Sun, Daochun ^a  

^a SOUTH CHINA NORMAL UNIVERSITY   (China)

Author keywords

Fatou component; Julila set; Rational dynamical system

Indexed keywords

EID: 34447311363     PISSN: 02529602     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0252-9602(07)60054-X     Document Type: Article

References (9)

1. Lu Y. Complex Analytic Dynamic System (1995), Science Press, Beijing
2. Ren F. Comples Analytic Dynamic System (1997), Fudan University Press, Shanghai
3. Blanchard P. Complex analytic dynamics on the Riemann sphere. Bull Amer Math Soc 11 1 (1984) 85-141
4. Sullivan D. Quasiconformal homeomorphisms and dynamics I: Solultion of the Fatou-Julia problem on wandering domains. Ann Math 122 (1985) 401-418
5. Sullivan D. Quasiconformal homeomorphisms and dynamics III: Topological conjugacy classes of analytic endomorphisms. Inst des Hautes Etudes Sci (1983) preprint
6. Koenigs G. Recherches sur les integrals de certainse'quations fonctionnelles. Ann Sci E'cole Norm Sup 1 (1884) 1-41
7. Bottcher L. The principal laws of convergence of iterates and their application to analysis. Izv Kazan Fiz -Mat Obshch 13 (1903) 1-37 1904, 14 : 155-234
8. Brolin H. Invariant sets under iteration of rational functions. Ark Math 6 (1965) 103-144
9. Sun D. On the production of Julia set. Acta Math Sci 26A 2 (2006) 161-167