On a topological closeness of perturbed Julia sets

dc.creator	Andreadis, I.	en
dc.creator	Karakasidis, T. E.	en
dc.date.accessioned	2015-11-23T10:22:14Z
dc.date.available	2015-11-23T10:22:14Z
dc.date.issued	2010
dc.identifier	10.1016/j.amc.2010.08.024
dc.identifier.issn	0096-3003
dc.identifier.uri	http://hdl.handle.net/11615/25558
dc.description.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. (C) 2010 Elsevier Inc. All rights reserved.	en
dc.source	Applied Mathematics and Computation	en
dc.source.uri	<Go to ISI>://WOS:000283049300062
dc.subject	Julia set	en
dc.subject	Mandelbrot map	en
dc.subject	Additive dynamic noise	en
dc.subject	Distance	en
dc.subject	MANDELBROT SETS	en
dc.subject	NOISE	en
dc.subject	MAP	en
dc.subject	Mathematics, Applied	en
dc.title	On a topological closeness of perturbed Julia sets	en
dc.type	journalArticle	en

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