Parameterized curve as attractors of some countable iterated function systems
Archivum mathematicum, Tome 40 (2004) no. 3, pp. 287-293
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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
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/}
}
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/
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