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
Citations
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Journal ArticleDOI
On Locating and Counting Satellite Components Born along the Stability Circle in the Parameter Space for a Family of Jarratt-Like Iterative Methods
Young Hee Geum,Young Ik Kim +1 more
TL;DR: In this paper, a linear stability theory on local bifurcations is developed based upon a small perturbation about the fixed point of the iterative map with a control parameter.
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Self-overlays and symmetries of Julia sets of expanding maps
TL;DR: In this paper, an inverse system of regular sub-complexes whose inverse limit is J(f) is constructed by iterating subdivision processes for a regular CW-structure given in M. The invariants of this inverse system can be used to study some topology and shape properties of the Julia set.
Dissertation
Topics in transcendental dynamics
TL;DR: In this article, the authors studied the evolution of the fast escaping set, a set of points that iterate to infinity as fast as possible, and showed that it plays a significant role in transcendental dynamics.
Journal ArticleDOI
A Relative Superior Julia Set and Relative Superior Tricorn and Multicorns of Fractals
TL;DR: The paper mainly emphasizes on reviewing the detailed study and generation of Relative Superior Tricorn and Multicorns along with Relative Superior Julia Set.
Journal ArticleDOI
Continuity of Julia set and its Hausdorff dimension of Yang–Lee zeros
Junyang Gao,Jianyong Qiao +1 more
TL;DR: In this article, the Julia set and its Hausdorff dimension were studied for a family of rational maps concerning 2-dimensional diamond hierarchical Potts models about anti-ferromagnetic coupling in statistical mechanics.