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On the dynamics of the singularly perturbed rational maps |
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| Authors: | Lian Rong Ding |
| Affiliation: | (2) Middlesex University, London, UK; |
| Abstract: | In this paper, we study the dynamics of the family of rational maps f λ (z) = z n + λ/z m , n ≥ 2, m ≥ 1, λ ∈ ℂ. We construct an example of buried Sierpinski curve Julia set in this family. We also give an estimate of the location of bifurcation locus of f λ . |
| Keywords: | Julia set Sierpinski curve bifurcation locus |
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