Results 51 to 60 of about 153,517 (179)

Variasi Motif Batik Palembang Menggunakan Sistem Fungsi Teriterasi dan Himpunan Julia

Jurnal Matematika, 2015
Batik Palembang has a distinctive design with bright colour. There are several design, in this research, can be visualized songket batik design and jumputan batik design.
Eka Susanti
doaj   +1 more source

Locally Contractive Iterated Function Systems

The Annals of Probability, 1999
An iterated function system on \(X\subset \mathbb{R}^d\) is defined by successively applying and i.i.d. sequence of random Lipschitz functions from \(X\) to \(X\). This paper shows how \(F_n=f_1 \circ\cdots \circ f_n\) may converge even in the absence of the strong contraction conditions, for instance, Lipschitz constant smaller than 1 on average ...
openaire   +3 more sources

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, Aleksey Georgievich Buhovetc   +1 more
doaj   +1 more source

Graph-Theoretic Characterization of Separation Conditions in Self-Affine Iterated Function Systems

Fractal and Fractional
For a self-affine iterated function system (IFS) {fj}j=1N on Rd defined by fj(x)=A−1(x+dj), where A is an expansive matrix and dj∈Rd, we reveal a novel characterization of the open set and weak separation conditions through the bounded degree of the ...
Ming-Qi Bai, Jun Luo, Yi Wu
doaj   +1 more source

Common Attractors for Generalized F-Iterated Function Systems in G-Metric Spaces

Fractal and Fractional
In this paper, we study the generalized F-iterated function system in G-metric space. Several results of common attractors of generalized iterated function systems obtained by using generalized F-Hutchinson operators are also established.
Talat Nazir, Sergei Silvestrov
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Differentiable Iterated Function Systems

, 2022
This preliminary paper presents initial explorations in rendering Iterated Function System (IFS) fractals using a differentiable rendering pipeline. Differentiable rendering is a recent innovation at the intersection of computer graphics and machine learning. A fractal rendering pipeline composed of differentiable operations opens up many possibilities
openaire   +2 more sources

Piecewise contractions defined by iterated function systems

, 2014
Let $\phi_1,\ldots,\phi_n:[0,1]\to (0,1)$ be Lipschitz contractions. Let $I=[0,1)$, $x_0=0$ and $x_n=1$.
Nogueira, Arnaldo, Pires, Benito, Rosales, Rafael A.   +2 more
core   +1 more source

Fractals in $$S_b$$ S b -metric spaces

Complex & Intelligent Systems
This study aims to discover attractors for fractals by using generalized F-contractive iterated function system, which falls within a distinct category of mappings defined on $$S_b$$ S b -metric spaces.
Fahim Ud Din, Sheeza Nawaz, Adil Jhangeer, Fairouz Tchier   +3 more
doaj   +1 more source

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
doaj   +1 more source

The Average Shadowing Property in Continuous Iterated Function Systems

Journal of Mathematical Extension, 2015
In this paper, we introduce a new type of iterated function systems, named; CIFS. Actually in a CIFS we have some flows instead of some functions in iterated function systems.
M. Fatehi Nia
doaj