Results 1 to 10 of about 167,256 (307)
Attractors of iterated function systems [PDF]
Proceedings of the American Mathematical Society, 1992 In this paper, the question of which compact metric spaces can be attractors of hyperbolic iterated function systems on Euclidean space is studied. It is shown that given any finite-dimensional compact metric X X , there is a Cantor set C C such that the disjoint union of C C and X X
L. S. Husch, P. F. Duvall
openaire +4 more sources
An investigation on the recurrent function of the Pythagorean fuzzy cellular topological dynamical system [PDF]
HeliyonThis study is about Pythagorean fuzzy cellular topological dynamical system which is generated using Pythagorean fuzzy cellular space. A dynamical system receives input for a certain function and performs an iterative procedure for that same function.
Gnanachristy N B, Revathi G K
doaj +2 more sources
Fractals via Controlled Fisher Iterated Function System
Fractal and Fractional, 2022 This paper explores the generalization of the fixed-point theorem for Fisher contraction on controlled metric space. The controlled metric space and Fisher contractions are playing a very crucial role in this research.
C. Thangaraj, D. Easwaramoorthy
doaj +1 more source
Cyclic weak ϕ iterated function system
Topological Algebra and its Applications, 2022 In this article, we are considering the cyclic weak ϕ-contraction and prove that the result is also true in Hausdorff metric space. We are constructing a cyclic weak ϕ iterated function system (IFS), which gives the self-referential set or attractor ...
Ullah Kifayat, Katiyar S. K.
doaj +1 more source
On the Fractal interpolation functions associated with Matkowski contractions
Electronic Research Archive, 2023 In this paper we investigate an iterated function system that defines a fractal interpolation function, where ordinate scaling, that is Lipschitz constant in Banach contraction principle is substituted by real-valued control function.
Najmeddine Attia +3 more
doaj +1 more source
Quantum iterated function systems [PDF]
Physical Review E, 2003 12 pages, 1 figure ...
Łoziński, Artur +2 more
openaire +5 more sources
Fractal Interpolation Using Harmonic Functions on the Koch Curve
Fractal and Fractional, 2021 The Koch curve was first described by the Swedish mathematician Helge von Koch in 1904 as an example of a continuous but nowhere differentiable curve.
Song-Il Ri +2 more
doaj +1 more source
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 ...
Kevin Wildrick, Annina Iseli
openaire +3 more sources
Sieving random iterative function systems [PDF]
Bernoulli, 2021 36 pages, 2 figures; accepted for publication in ...
Marynych, Alexander, Molchanov, Ilya
openaire +4 more sources
Fractal Dimension of Fractal Functions on the Real Projective Plane
Fractal and Fractional, 2023 In this article, we consider an iterated functions system on the non-Euclidean real projective plane which has a linear structure. Then, we study the fractal dimension of the associated curve as a subset of the projective space and like a set of the ...
Alamgir Hossain +2 more
doaj +1 more source