| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4632708 | Applied Mathematics and Computation | 2010 | 8 Pages |
Abstract
In the present work we expand our previous work in [1] by introducing the Julia Deviation Distance and the Julia Deviation Plot in order to study the stability of the Julia sets of noise-perturbed Mandelbrot maps. We observe a power-law behaviour of the Julia Deviation Distance of the Julia sets of a family of additive dynamic noise Mandelbrot maps from the Julia set of the Mandelbrot map as a function of the noise level. Additionally, using the above tools, we support the invariance of the Julia set of a noise-perturbed Mandelbrot map under different noise realizations.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ioannis Andreadis, Theodoros E. Karakasidis,