Results 21 to 30 of about 22,491,817 (299)

THE CONLEY ATTRACTORS OF AN ITERATED FUNCTION SYSTEM [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2013
AbstractWe investigate the topological and metric properties of attractors of an iterated function system (IFS) whose functions may not be contractive. We focus, in particular, on invertible IFSs of finitely many maps on a compact metric space. We rely on ideas of Kieninger [Iterated Function Systems on Compact Hausdorff Spaces (Shaker, Aachen, 2002 ...
Barnsley, Michael, vince, Andrew
openaire   +3 more sources

Iterated function system quasiarcs [PDF]

open access: yes, 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   +3 more sources

Random iterations of homeomorphisms on the circle

open access: yesModern Stochastics: Theory and Applications, 2017
We study random independent and identically distributed iterations of functions from an iterated function system of homeomorphisms on the circle which is minimal.
Katrin Gelfert, Örjan Stenflo
doaj   +1 more source

Construction of Three Branches Fractal Trees Using Iterated Function System

open access: yesJurnal Ilmu Dasar, 2022
There are two types of fractal: natural fractals and fractals set. The examples of natural fractals are trees, leaves, ferns, mountain, and coastlines. One of the examples of fractals set is Pythagorean tree.
Kosala Dwidja Purnomo   +2 more
doaj   +1 more source

The structure of fuzzy fractals generated by an orbital fuzzy iterated function system

open access: yesDemonstratio Mathematica, 2023
In this article, we present a structure result concerning fuzzy fractals generated by an orbital fuzzy iterated function system ((X,d),(fi)i∈I,(ρi)i∈I)\left(\left(X,d),{({f}_{i})}_{i\in I},{\left({\rho }_{i})}_{i\in I}). Our result involves the following
Savu Irina   +2 more
doaj   +1 more source

Attractors for iterated function systems

open access: yesJournal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2016
Let X be a compact metric space with \mathcal S = \{S_{1}, \ldots, S_{N}\} a finite set of contraction maps from X
D'ANIELLO, Emma, Steele, T. H.
openaire   +2 more sources

SEMIGROUP ACTION FOR HUTCHITSON OPERATOR OF ITERATED FUNCTION SYSTEM [PDF]

open access: yes, 2016
In this article, we are trying to see the Iterated function system or more generally a skew product as formation a semigroup action system. We will try to implement more semigroup action properties on itself.
Rezaali, Esmaeel
core   +1 more source

Directed graph iterated function systems [PDF]

open access: yes, 2011
This thesis concerns an active research area within fractal geometry. In the first part, in Chapters 2 and 3, for directed graph iterated function systems (IFSs) defined on ℝ, we prove that a class of 2-vertex directed graph IFSs have attractors that ...
Boore, Graeme C.
core   +2 more sources

Scale-Free Fractal Interpolation

open access: yesFractal and Fractional, 2022
An iterated function system that defines a fractal interpolation function, where ordinate scaling is replaced by a nonlinear contraction, is investigated here.
María A. Navascués   +2 more
doaj   +1 more source

On quantum iterated function systems [PDF]

open access: yesOpen Physics, 2004
AbstractA Quantum Iterated Function System on a complex projective space is defined through a family of linear operators on a complex Hilbert space. The operators define both the maps and their probabilities by one algebraic formula. Examples with conformal maps (relativistic boosts) on the Bloch sphere are discussed.
openaire   +3 more sources

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