Parameterized curve as attractors of some countable iterated function systems
Secelean, Nicolae-Adrian
Archivum Mathematicum, Tome 040 (2004), p. 287-293 / Harvested from Czech Digital Mathematics Library

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].

Publié le : 2004-01-01
Classification:  28A80,  37C70,  47H10
@article{107911,
     author = {Nicolae-Adrian Secelean},
     title = {Parameterized curve as attractors of some countable iterated function systems},
     journal = {Archivum Mathematicum},
     volume = {040},
     year = {2004},
     pages = {287-293},
     zbl = {1115.28008},
     mrnumber = {2107024},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107911}
}
Secelean, Nicolae-Adrian. Parameterized curve as attractors of some countable iterated function systems. Archivum Mathematicum, Tome 040 (2004) pp. 287-293. http://gdmltest.u-ga.fr/item/107911/

Barnsley M. F. Fractals everywhere, Academic Press, Harcourt Brace Janovitch, 1988. (1988) | MR 0977274 | Zbl 0691.58001

Falconer K. J. The Geometry of Fractal Sets, Cambridge University Press, 85, 1985. (1985) | MR 0867284 | Zbl 0587.28004

Hutchinson J. Fractals and self-similarity, Indiana Univ. Math. J. 30 (1981), 713–747. (1981) | MR 0625600 | Zbl 0598.28011

Secelean N. A. Countable Iterated Fuction Systems, Far East J. Dyn. Syst., Pushpa Publishing House, vol. 3(2) (2001), 149–167. | MR 1900096