Article ID Journal Published Year Pages File Type
8253260 Chaos, Solitons & Fractals 2018 7 Pages PDF
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.
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Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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On quasi-discs and Fatou components of a family of rational maps concerning renormalization transformation
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