Parameterized curve as attractors of some countable iterated function systems
Archivum mathematicum, Tome 40 (2004) no. 3, pp. 287-293 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

In this paper we will demonstrate that, in some conditions, the attractor of a countable iterated function system is a parameterized curve. This fact results by generalizing a construction of J. E. Hutchinson [Hut81].
In this paper we will demonstrate that, in some conditions, the attractor of a countable iterated function system is a parameterized curve. This fact results by generalizing a construction of J. E. Hutchinson [Hut81].
Classification : 28A80, 37C70, 47H10
Keywords: Hausdorff metric; countable iterated function system; attractor
@article{ARM_2004_40_3_a8,
     author = {Secelean, Nicolae-Adrian},
     title = {Parameterized curve as attractors of some countable iterated function systems},
     journal = {Archivum mathematicum},
     pages = {287--293},
     year = {2004},
     volume = {40},
     number = {3},
     mrnumber = {2107024},
     zbl = {1115.28008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2004_40_3_a8/}
}
TY  - JOUR
AU  - Secelean, Nicolae-Adrian
TI  - Parameterized curve as attractors of some countable iterated function systems
JO  - Archivum mathematicum
PY  - 2004
SP  - 287
EP  - 293
VL  - 40
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ARM_2004_40_3_a8/
LA  - en
ID  - ARM_2004_40_3_a8
ER  - 
%0 Journal Article
%A Secelean, Nicolae-Adrian
%T Parameterized curve as attractors of some countable iterated function systems
%J Archivum mathematicum
%D 2004
%P 287-293
%V 40
%N 3
%U http://geodesic.mathdoc.fr/item/ARM_2004_40_3_a8/
%G en
%F ARM_2004_40_3_a8
Secelean, Nicolae-Adrian. Parameterized curve as attractors of some countable iterated function systems. Archivum mathematicum, Tome 40 (2004) no. 3, pp. 287-293. http://geodesic.mathdoc.fr/item/ARM_2004_40_3_a8/

[1] Barnsley M. F.: Fractals everywhere. Academic Press, Harcourt Brace Janovitch, 1988. | MR | Zbl

[2] Falconer K. J.: The Geometry of Fractal Sets. Cambridge University Press, 85, 1985. | MR | Zbl

[3] Hutchinson J.: Fractals and self-similarity. Indiana Univ. Math. J. 30 (1981), 713–747. | MR | Zbl

[4] Secelean N. A.: Countable Iterated Fuction Systems. Far East J. Dyn. Syst., Pushpa Publishing House, vol. 3(2) (2001), 149–167. | MR