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Topological entropy pairs for an iterated function system
Journal of Mathematical Analysis and Applications, 2020In this paper for an iterated function system we introduce a concept of topological entropy, localizing the concept of the topological entropy, and the concept of entropy pair is introduced. Some properties they are given.
Huoyun Wang +3 more
semanticscholar +3 more sources
A new algorithm that generates the image of the attractor of a generalized iterated function system
Numerical Algorithms, 2019We provide a new algorithm (called the grid algorithm) designed to generate the image of the attractor of a generalized iterated function system on a finite dimensional space and we compare it with the deterministic algorithm regarding generalized ...
R. Miculescu +2 more
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Recurrent Iterated Function Systems
Constructive Approximation, 1989Recurrent iterated function systems generalize iterated function systems as introduced by the first author and \textit{S. Demko} [Proc. R. Soc. Lond., Ser. A 399, 243-275 (1985; Zbl 0588.28002)] in that a Markov chain (typically with some zeros in the transition probability matrix) is used to drive a system of maps \(w_ j:\) \(K\to K\), \(j=1,2,...,N\),
Barnsley, Michael F. +2 more
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Fractals, 2010
In 1969, Kannan1 gave the definition of a new mapping which had presented a condition which is more lenient than contraction condition. The purpose of this note is to introduce K-Iterated Function System using Kannan mapping which will cover a larger range of mappings. We also prove the Collage theorem for the K-Iterated Function System.
D. R. Sahu, A. Chakraborty, R. Dubey
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In 1969, Kannan1 gave the definition of a new mapping which had presented a condition which is more lenient than contraction condition. The purpose of this note is to introduce K-Iterated Function System using Kannan mapping which will cover a larger range of mappings. We also prove the Collage theorem for the K-Iterated Function System.
D. R. Sahu, A. Chakraborty, R. Dubey
semanticscholar +3 more sources
Applied Soft Computing Journal, 2016
H. Su, Z. Wen, Feng Wang, Jiang Hu
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H. Su, Z. Wen, Feng Wang, Jiang Hu
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An extensive survey on fractal structures using iterated function system in patch antennas
International Journal of Communication Systems, 2021Over the last few years, fractal structure has been used in several engineering fields such as surface physics, telecommunication, fluid mechanics, and so forth.
Aravindraj Ezhumalai +2 more
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Separation Conditions for Iterated Function Systems with Overlaps on Riemannian Manifolds
Journal of Geometric Analysis, 2022We formulate the weak separation condition and the finite type condition for conformal iterated function systems on Riemannian manifolds with nonnegative Ricci curvature, and generalize the main theorems by Lau et al.
Sze-Man Ngai, Yangyang Xu
semanticscholar +1 more source
Selecta Mathematica, 2020
We consider small perturbations of a conformal iterated function system produced by either adding or removing some generators with small derivative from the original.
Tushar Das +3 more
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We consider small perturbations of a conformal iterated function system produced by either adding or removing some generators with small derivative from the original.
Tushar Das +3 more
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