On quasi-discs and Fatou components of a family of rational maps concerning renormalization transformation

Junyang Gao

Chaos, Solitons & Fractals, 2018, vol. 114, issue C, 31-37

Abstract: Considering a family of rational maps Tnλ concerning renormalization transformation, we study the relations between quasi-discs and the Fatou components of Tnλ. Moreover, we give a perfect description whether the boundary of each Fatou component is a quasi-circle or not for parameters n∈N and λ∈R.

Keywords: Quasi-disc; Fatou component; Julia set; Cusp point; Renormalization transformation (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:114:y:2018:i:c:p:31-37

DOI: 10.1016/j.chaos.2018.06.026

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