| Title:
|
Parameterized curve as attractors of some countable iterated function systems (English) |
| Author:
|
Secelean, Nicolae-Adrian |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
40 |
| Issue:
|
3 |
| Year:
|
2004 |
| Pages:
|
287-293 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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]. (English) |
| Keyword:
|
Hausdorff metric |
| Keyword:
|
countable iterated function system |
| Keyword:
|
attractor |
| MSC:
|
28A80 |
| MSC:
|
37C70 |
| MSC:
|
47H10 |
| idZBL:
|
Zbl 1115.28008 |
| idMR:
|
MR2107024 |
| . |
| Date available:
|
2008-06-06T22:43:58Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107911 |
| . |
| Reference:
|
[1] Barnsley M. F.: Fractals everywhere.Academic Press, Harcourt Brace Janovitch, 1988. Zbl 0691.58001, MR 0977274 |
| Reference:
|
[2] Falconer K. J.: The Geometry of Fractal Sets.Cambridge University Press, 85, 1985. Zbl 0587.28004, MR 0867284 |
| Reference:
|
[3] Hutchinson J.: Fractals and self-similarity.Indiana Univ. Math. J. 30 (1981), 713–747. Zbl 0598.28011, MR 0625600 |
| Reference:
|
[4] Secelean N. A.: Countable Iterated Fuction Systems.Far East J. Dyn. Syst., Pushpa Publishing House, vol. 3(2) (2001), 149–167. MR 1900096 |
| . |
