Results 31 to 40 of about 170,005 (283)
Iterated Function Systems and Control Languages
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Henning Fernau, Ludwig Staiger
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A Fibonacci control system with application to hyper-redundant manipulators [PDF]
We study a robot snake model based on a discrete linear control system involving Fibonacci sequence and closely related to the theory of expansions in non-integer bases.
Lai, Anna Chiara +2 more
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On Weakly Hyperbolic Iterated Function Systems
Updated version.
Arbieto, Alexander +2 more
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Iterated Relation Systems on Riemannian Manifolds
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
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The absolute continuity of the invariant measure of random iterated function systems with overlaps
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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H\"older differentiability of self-conformal devil's staircases [PDF]
In this paper we consider the probability distribution function of a Gibbs measure supported on a self-conformal set given by an iterated function system (devil's staircase).
Troscheit, Sascha
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Cyclic generalized iterated function systems
In this article, we introduce the notion of cyclic generalized iterated function system (GIFS), which is a family of functions f(1), f(2), ..., f(M): X-k -> X, where each f(i) is a cyclic generalized phi-contraction (contractive) map on a collection of subsets {B-j}(j=1)(p) of a complete metric space (X, d) respectively, and k, M, p are natural numbers.
Rajan Pasupathi +3 more
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Iterated function system of locally contractive operators
The aim of this paper is to study the properties of the fractal and the multi-fractal operator generated by some iterated function system satisfying to a locally contractive type condition.
Adrian Petruşel
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Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems
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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Weak θ-contractions and some fixed point results with applications to fractal theory
In this paper, we define weak θ-contractions on a metric space into itself by extending θ-contractions introduced by Jleli and Samet (J. Inequal. Appl.
Mohammad Imdad +2 more
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