Results 21 to 30 of about 154,212 (278)
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
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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
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The absolute continuity of the invariant measure of random iterated function systems with overlaps
, 2009 We consider iterated function systems on the interval with random perturbation. Let $Y_\epsilon$ be uniformly distributed in $[1- \epsilon, 1 + \epsilon]$ and let $f_i \in C^{1+\alpha}$ be contractions with fixpoints $a_i$.
Barany, Balazs, Persson, Tomas
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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 +2 more
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Iterated Relation Systems on Riemannian Manifolds
Fractal and FractionalFor 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
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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
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Tiling iterated function systems
Chaos, Solitons & FractalsThis 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 +2 more
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Iterated function system quasiarcs [PDF]
Conformal Geometry and Dynamics of the American Mathematical Society, 2017 We consider a class of iterated function systems (IFSs) of contracting similarities of Rn\mathbb {R}^n, introduced by Hutchinson, for which the invariant set possesses a natural Hölder continuous parameterization by the unit interval. When such an invariant set is homeomorphic to an interval, we give necessary conditions in terms of the similarities ...
Iseli, Annina, Wildrick, Kevin
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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 +2 more
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Ruelle Operator Theorem for Nonexpansive systems
, 2009 The Ruelle operator theorem has been studied extensively both in dynamical systems and iterated function systems. In this paper we study the Ruelle operator theorem for nonexpansive systems.
Barnsley +7 more
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