Results 31 to 40 of about 15,373 (302)

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 and Control Languages

Information and Computation, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Henning Fernau, Ludwig Staiger
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The Global Structure of Iterated Function Systems [PDF]

, 2009
I study sets of attractors and non-attractors of finite iterated function systems. I provide examples of compact sets which are attractors of iterated function systems as well as compact sets which are not attractors of any iterated function system.
Snyder, Jason Edward
core   +1 more source

Iterated function systems with super-exponentially close cylinders II [PDF]

, 2022
Until recently, it was an important open problem in Fractal Geometry to determine whether there exists an iterated function system acting on with no exact overlaps for which cylinders are super-exponentially close at all small scales.
Baker, Simon
core   +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

Cyclic generalized iterated function systems

Computational and Mathematical Methods, 2021
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, Arya Kumar Bedabrata Chand, María A. Navascués, María Victoria Sebastián   +3 more
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C^1 robustly minimal iterated function systems [PDF]

, 2010
We construct iterated function systems on compact manifolds that are C^1 robustly minimal. On the m-dimensional torus and on two-dimensional compact manifolds, examples are provided of C^1 robustly minimal iterated function systems that are generated by ...
Homburg, A.J., Ghane, F.H., Sarizadeh, S.   +2 more
core   +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

Dimensions of Fractals Generated by Bi-Lipschitz Maps

Abstract and Applied Analysis, 2014
On the class of iterated function systems of bi-Lipschitz mappings that are contractions with respect to some metrics, we introduce a logarithmic distortion property, which is weaker than the well-known bounded distortion property.
Qi-Rong Deng, Sze-Man Ngai
doaj   +1 more source

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
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