Results 11 to 20 of about 170,005 (283)
Orbital fuzzy iterated function systems
Fuzzy Sets and Systems, 2023 In this paper we introduce the concept of orbital fuzzy iterated function system and prove that the fuzzy operator associated to such a system is weakly Picard. An example is provided.
Alexandru Mihail, Irina Savu
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Approximating distribution functions by iterated function systems [PDF]
Journal of Applied Mathematics and Decision Sciences, 2002 An iterated function system (IFS) on the space of distribution functions is built with the aim of proposing a new class of distribution function estimators. One IFS estimator and its asymptotic properties are studied in detail. We also propose a density estimator derived from the IFS distribution function estimator by using Fourier analysis. Relative
S.M. Iacus, D. La Torre
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Digital Video Compression Using DCT-Based Iterated Function System (IFS)
Tikrit Journal of Pure Science, 2023 Large video files processing involves a huge volume of data. The codec, storage systems and network needs resource utilization, so it becomes important to minimize the used memory space and time to distribute these videos over the Internet using ...
Nevart A. Minas, Faten H. Al-Qadhee
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Markov Characteristics for IFSP and IIFSP [PDF]
Transactions on Fuzzy Sets and Systems, 2022 As the research object of modern nonlinear science, a fractal theory has been an important research content for scholars since it comes into the world. Moreover, iterated function system (IFS) is a significant research object of fractal theory.
Nan Jiang, Wei Li, Fei Li, Juntao Wang
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A class of continua that are not attractors of any IFS [PDF]
, 2012 This paper presents a sufficient condition for a continuum in $R^n$ to be embeddable in $R^n$ in such a way that its image is not an attractor of any iterated function system.
Kulczycki, Marcin, Nowak, Magdalena
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Iterated Function Systems on Multifunctions [PDF]
, 2007 We introduce a method of iterated function systems (IFS) over the space of set-valued mappings (multifunctions). This is done by first considering a couple of useful metrics over the space of multifunctions F(X,Y). Some appropriate IFS-type fractal transform operators T:F(X,Y)->F(X,Y) are then defined which combine spatially-contracted and range ...
D. La Torre, F. Mendivil, E. Vrscay
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The similarity dimension of the random iterated function system [PDF]
Компьютерные исследования и моделирование, 2012 In this paper we consider the properties of the random iterated function systems (RIFS) obtained using a generalization of the Chaos game algorithm. Used for the RIFS simulation R is a free software environment for statistical computing and graphics. The
Pavel Valentinovich Moskalev +1 more
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Persistence landscapes of affine fractals
Demonstratio Mathematica, 2022 We develop a method for calculating the persistence landscapes of affine fractals using the parameters of the corresponding transformations. Given an iterated function system of affine transformations that satisfies a certain compatibility condition, we ...
Catanzaro Michael J. +2 more
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Notes on the Transversality Method for Iterated Function Systems—A Survey
Mathematical and Computational Applications, 2023 This is a brief survey of selected results obtained using the “transversality method” developed for studying parametrized families of fractal sets and measures. We mostly focus on the early development of the theory, restricting ourselves to self-similar
Boris Solomyak
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THE CONLEY ATTRACTORS OF AN ITERATED FUNCTION SYSTEM [PDF]
Bulletin of the Australian Mathematical Society, 2013 AbstractWe investigate the topological and metric properties of attractors of an iterated function system (IFS) whose functions may not be contractive. We focus, in particular, on invertible IFSs of finitely many maps on a compact metric space. We rely on ideas of Kieninger [Iterated Function Systems on Compact Hausdorff Spaces (Shaker, Aachen, 2002 ...
Barnsley, Michael, vince, Andrew
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