Noise and chaotic disturbance on self-similar set
| dc.creator | Yu, Zu-Guo | |
| dc.creator | Ren, Fu-Yao | |
| dc.date | 1998-12-25 | |
| dc.date.accessioned | 2026-07-07T05:27:22Z | |
| dc.date.available | 2026-07-07T05:27:22Z | |
| dc.description | The effect of noise on self-similar set is studied. The iteratie procedure used to generate the self-similar set is moidified by adding a stochastic variable to the diameter of generating sets at each iteration. The noise may causes the generating set to collapse to a point. Distribution functions are found describing the probability that any generating set collapse. The effect of chaotic disturbance on the iteration of self-similar set is studied. It is shown that the iterative procedure which describes the self-similar set is truncated under the influence of disturbance generated by the tent map. Conditions which lead to truncation of any chaotic map are also obtained. | |
| dc.description | 9 pages with no figures | |
| dc.identifier | https://arxiv.org/abs/math/9812144 | |
| dc.identifier | http://arxiv.org/abs/math/9812144 | |
| dc.identifier | The Southeast Asian Bull. of Math. 23(1) (1998)145-152 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77893 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 28A80 (Primary) 60E05 (Secondary) | |
| dc.title | Noise and chaotic disturbance on self-similar set | |
| dc.type | text |