Results 21 to 30 of about 3,191,545 (316)
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Attractors of iterated function systems [PDF]
Proceedings of the American Mathematical Society, 1992 In this paper, the question of which compact metric spaces can be attractors of hyperbolic iterated function systems on Euclidean space is studied. It is shown that given any finite-dimensional compact metric X X , there is a Cantor set C C such that the disjoint union of C C and X X
Duvall, P. F. jun., Husch, L. S.
openaire +2 more sources
Inter-Intra Molecular Dynamics as an Iterated Function System [PDF]
, 2005 The dynamics of units (molecules) with slowly relaxing internal states is studied as an iterated function system (IFS) for the situation common in e.g. biological systems where these units are subjected to frequent collisional interactions.
Barnsley M. +15 more
core +1 more source
Construction of Three Branches Fractal Trees Using Iterated Function System
Jurnal Ilmu Dasar, 2022 There are two types of fractal: natural fractals and fractals set. The examples of natural fractals are trees, leaves, ferns, mountain, and coastlines. One of the examples of fractals set is Pythagorean tree.
Kosala Dwidja Purnomo +2 more
doaj +1 more source
Random iterations of homeomorphisms on the circle
Modern Stochastics: Theory and Applications, 2017 We study random independent and identically distributed iterations of functions from an iterated function system of homeomorphisms on the circle which is minimal.
Katrin Gelfert, Örjan Stenflo
doaj +1 more source
The structure of fuzzy fractals generated by an orbital fuzzy iterated function system
Demonstratio Mathematica, 2023 In this article, we present a structure result concerning fuzzy fractals generated by an orbital fuzzy iterated function system ((X,d),(fi)i∈I,(ρi)i∈I)\left(\left(X,d),{({f}_{i})}_{i\in I},{\left({\rho }_{i})}_{i\in I}). Our result involves the following
Savu Irina +2 more
doaj +1 more source
Scale-Free Fractal Interpolation
Fractal and Fractional, 2022 An iterated function system that defines a fractal interpolation function, where ordinate scaling is replaced by a nonlinear contraction, is investigated here.
María A. Navascués +2 more
doaj +1 more source
Real Projective Iterated Function Systems [PDF]
Journal of Geometric Analysis, 2011 This paper contains four main results associated with an attractor of a projective iterated function system (IFS). The first theorem characterizes when a projective IFS has an attractor which avoids a hyperplane. The second theorem establishes that a projective IFS has at most one attractor. In the third theorem the classical duality between points and
Barnsley, Michael F., Vince, Andrew
openaire +4 more sources