Results 71 to 80 of about 15,237 (204)
On Bounding Boxes of Iterated Function System Attractors
, 2010 [[abstract]]Before rendering 2D or 3D fractals with iterated function systems, it is necessary to calculate the bounding extent of fractals. We develop a new algorithm to compute the bounding box which closely contains the entire attractor of an iterated
H. T. Chu ; C. C. Chen
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Overlapping iterated function systems on a segment [PDF]
, 2012 Overlapping iterated function systems generate families of injective mappings from the attractor onto shift-invariant subsets of the code space. In this paper we consider an example of such a family for the uniformly linear systems of iterated functions ...
Igudesman K., Barnsley M.
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The dimension of the boundary of the Lévy Dragon
International Journal of Mathematics and Mathematical Sciences, 1997 In this paper we describe the computations done by the authors in determining the dimension of the boundary of the Lévy Dragon. A general theory was developed for calculating the dimension of a self-similar tile and the theory was applied to this ...
P. Duvall, J. Keesling
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Some New Difference Inequalities and an Application to Discrete-Time Control Systems
Journal of Applied Mathematics, 2012 Two new nonlinear difference inequalities are considered, where the inequalities consist of multiple iterated sums, and composite function of nonlinear function and unknown function may be involved in each layer.
Hong Zhou +3 more
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A Class of Möbius Iterated Function Systems
, 2018 We give a procedure to produce Möbius iterated function systems (MIFS) on the unit disc in the complex plane.
Çakmak, Gökçe +2 more
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Iterated function systems in partial metric spaces with applications
, 2023 Bibliography: pages 151-158The mathematical study of fractals is deeply embedded in iterated function systems (IFS) formulated by Hutchinson in 1981.
Makhoshi, Vuledzani Thomas
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Iterated Functions Systems, Blenders, and Parablenders [PDF]
, 2017 We recast the notion of parablender introduced in [Berger2015] as a parametric IFS. This is done using the concept of open covering property and looking to parametric IFS as systems acting on jets.
Berger, Pierre +2 more
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MathematicsIn this paper, we examine a sequence of uncountable iterated function systems (U.I.F.S.), where each term in the sequence is constructed from an uncountable collection of contraction mappings along with a linear and continuous operator.
Ion Mierluș–Mazilu, Lucian Niță
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Mathematics, 2019 In this paper, we obtain multifractals (attractors) in the framework of Hausdorff b-metric spaces. Fractals and multifractals are defined to be the fixed points of associated fractal operators, which are known as attractors in the literature of fractals.
Sudesh Kumari +3 more
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New fixed point results in quasi-metric spaces and applications in fractals theory
Advances in Difference Equations, 2019 In this paper, we prove some fixed point theorems for ψF-contractions in the framework of quasi-metric spaces generalizing and improving several similar results in metric spaces.
Nicolae Adrian Secelean +2 more
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