BookDOI
Iteration of Rational Functions
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This article is published in American Mathematical Monthly.The article was published on 1991-01-01. It has received 972 citations till now. The article focuses on the topics: Elliptic rational functions & Rational function.read more
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Julia sets as buried Julia components
Youming Wang,Fei Yang +1 more
TL;DR: In this article, it was shown that there exists a rational map with degree Ω(g) that contains a buried Julia component on which the dynamics is quasiconformally conjugate to that of the rational map on the Julia set if and only if it does not have parabolic basins.
Journal ArticleDOI
On Connectivity of Fatou Components concerning a Family of Rational Maps
Junyang Gao,Gang Liu +1 more
TL;DR: In this paper, it was shown that there exists a rational map with Fatou components with connectivities 3 and 5 for any given finite connectivity, and that there exist rational maps with connectivity 9.
Journal ArticleDOI
Any Way You Slice It, It Comes Up Julia Sets
Julia Barnes,Lisbeth Schaubroeck +1 more
TL;DR: In this article, the authors considered functions that are obtained by composing certain types of complex functions with themselves many times, and they considered functions obtained by combining different types of functions with each other many times.
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Dynamics in the Eremenko-Lyubich class
TL;DR: For a survey of the dynamics of functions in the Eremenko-Lyubich class, see, e.g., as discussed by the authors, for instance, the work of as discussed by the authors.
Book ChapterDOI
Chaos in Dynamical Systems: How Uncertainty Arises in Scientific and Engineering Phenomena
TL;DR: The present chapter demonstrates that certain, seemingly deterministic, dynamical systems also exhibit some attributes of ran-domness such as stability of frequencies and fluctuations.