Results 31 to 40 of about 15,237 (204)

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

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

Attractors of directed graph IFSs that are not standard IFS attractors and their Hausdorff measure

, 2012
"GCB was supported by an EPSRC Doctoral Training Grant whilst undertaking this work"For directed graph iterated function systems (IFSs) defined on R, we prove that a class of 2-vertex directed graph IFSs have attractors that cannot be the attractors of ...
Boore, Graeme, Falconer, Kenneth John
core   +1 more source

Iterated function systems and shape representation [PDF]

, 1990
We propose the use of iterated function systems as an isomorphic shape representation scheme for use in a machine vision environment. A concise description of the basic theory and salient characteristics of iterated function systems is presented and from
Giles, Paul A.
core  

On Product Neutrosophic Fractal Spaces and α-Density Theory with Arbitrarily Small and Controlled Error

Fractal and Fractional
In this manuscript, we present the classical Hutchinson–Barnsley theory on the product neutrosophic fractal spaces by utilizing an iterated function system, which is enclosed by neutrosophic Edelstein contractions and a finite number of neutrosophic b ...
Khaleel Ahmad, Umar Ishtiaq, Ghulam Murtaza, Ioan-Lucian Popa, Fethi Mohamed Maiz   +4 more
doaj   +1 more source

Iterated function system quasiarcs [PDF]

, 2017
We consider a class of iterated function systems (IFSs) of contracting similarities of Rn, introduced by Hutchinson, for which the invariant set possesses a natural Hölder continuous parameterization by the unit interval.
Wildrick, Kevin Michael, Iseli, Annina
core   +1 more source

The Hutchinson-Barnsley theory for generalized iterated function systems by means of infinite iterated function systems

, 2023
The study of generalized iterated function systems (GIFS) was introduced by Mihail and Miculescu in 2008. We provide a new approach to study those systems as the limit of the Hutchinson-Barnsley setting for infinite iterated function systems (IIFS) which
Oliveira, Elismar R.
core  

A Closed Graph Theorem for hyperbolic iterated function systems

, 2021
In this note we introduce a notion of a morphism between two hyperbolic iterated function systems. We prove that the graph of a morphism is the attractor of an iterated function system, giving a Closed Graph Theorem, and show how it can be used to ...
Mundey, Alexander
core   +1 more source