Results 21 to 30 of about 153,517 (179)

On the Attractor of One-Dimensional Infinite Iterated Function Systems [PDF]

, 2013
We study the attractor of Iterated Function Systems composed of infinitely many affine, homogeneous maps. In the special case of second generation IFS, defined herein, we conjecture that the attractor consists of a finite number of non-overlapping ...
Mantica, Giorgio
core   +1 more source

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
openaire   +3 more sources

Attractors of iterated function systems and Markov operators

Abstract and Applied Analysis, 2003
This paper contains a review of results concerning “generalized” attractors for a large class of iterated function systems {wi:i∈I} acting on a complete separable metric space.
Józef Myjak, Tomasz Szarek
doaj   +1 more source

Arcwise connected attractors of infinite iterated function systems

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
The aim of this paper is to give a sufficient condition for the attractor of an infinite iterated function system to be arcwise connected.
Dumitru Dan
doaj   +1 more source

Iterated function systems, representations, and Hilbert space

, 2004
This paper studies a general class of Iterated Function Systems (IFS). No contractivity assumptions are made, other than the existence of some compact attractor. The possibility of escape to infinity is considered.
Bratteli O., Jorgensen P., Mackey G., Nelson E., PALLE E. T. JORGENSEN   +4 more
core   +1 more source

Synthesizing fractal images by means of shift dynamical systems

Lietuvos Matematikos Rinkinys, 2003
In this paper, the adaptation problem of the time escape algorithm to the special class of fractal images (attractors of iterated function systems) and the necessary mathematical context are ana­lysed.
Jonas Valantinas, Rokas Valantinas, Tomas Žumbakis   +2 more
doaj   +3 more sources

Psychological Implicit Motives Construct as an Emergent Fractal Attractor from Intermittent Neurophysiological Responses: Simulation and Entropy-like Characterization

Entropy, 2023
Implicit Motives are non-conscious needs that drive human behavior towards the achievement of incentives that are affectively incited. Repeated affective experiences providing satisfying rewards have been held responsible for the building of Implicit ...
Miguel Ángel Martín, Celia Vara, Carlos García-Gutiérrez   +2 more
doaj   +1 more source

Iterated Relation Systems on Riemannian Manifolds

Fractal and Fractional
For fractals on Riemannian manifolds, the theory of iterated function systems often does not apply well directly, as these fractal sets are often defined by relations that are multivalued or non-contractive.
Jie Liu, Sze-Man Ngai, Lei Ouyang
doaj   +1 more source

Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems

Abstract and Applied Analysis, 2015
We apply a fixed point result for multivalued contractions on complete metric spaces endowed with a graph to graph-directed iterated function systems.
T. Dinevari, M. Frigon
doaj   +1 more source

Tiling iterated function systems

Chaos, Solitons & Fractals
This paper presents a detailed symbolic approach to the study of self-similar tilings. It uses properties of addresses associated with graph-directed iterated function systems to establish conjugacy properties of tiling spaces. Tiles may be fractals and the tiled set may be a complicated unbounded subset of $\mathbb{R}^{M}$.
Louisa F. Barnsley, Michael F. Barnsley, Andrew Vince   +2 more
openaire   +2 more sources