About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Secelean, Nicolae-Adrian
Parameterized curve as attractors of some countable iterated function systems. (English). Archivum Mathematicum, vol. 40 (2004), issue 3, pp. 287-293
MSC: 28A80, 37C70, 47H10 | MR 2107024 | Zbl 1115.28008
Keywords:
Hausdorff metric; countable iterated function system; attractor
Summary:
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].
References:
[1] Barnsley M. F.: Fractals everywhere. Academic Press, Harcourt Brace Janovitch, 1988. MR 0977274 | Zbl 0691.58001
[2] Falconer K. J.: The Geometry of Fractal Sets. Cambridge University Press, 85, 1985. MR 0867284 | Zbl 0587.28004
[3] Hutchinson J.: Fractals and self-similarity. Indiana Univ. Math. J. 30 (1981), 713–747. MR 0625600 | Zbl 0598.28011
[4] Secelean N. A.: Countable Iterated Fuction Systems. Far East J. Dyn. Syst., Pushpa Publishing House, vol. 3(2) (2001), 149–167. MR 1900096
Partner of
EuDML logo