On a topological closeness of perturbed Mandelbrot 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.2009.11.006
dc.identifier.issn	0096-3003
dc.identifier.uri	http://hdl.handle.net/11615/25559
dc.description.abstract	In the present work we propose a numerical and visual tool for the study of the deformation of the Mandelbrot sets of perturbed Mandelbrot maps by noise in comparison with the original Mandelbrot set. Further, by employing these numerical tools, we support the invariance of the Mandelbrot set of a noise-perturbed Mandelbrot map under different noise realizations. Finally, we provide evidence for the non-fractal structure of the Mandelbrot set of a noise-perturbed Mandelbrot map. (C) 2009 Elsevier Inc. All rights reserved.	en
dc.source	Applied Mathematics and Computation	en
dc.source.uri	<Go to ISI>://WOS:000273231300022
dc.subject	Mandelbrot set	en
dc.subject	Additive dynamic noise Mandelbrot map	en
dc.subject	Distance	en
dc.subject	Deviation plot	en
dc.subject	Fractal	en
dc.subject	CHAOTIC ATTRACTORS	en
dc.subject	NOISE	en
dc.subject	MAP	en
dc.subject	Mathematics, Applied	en
dc.title	On a topological closeness of perturbed Mandelbrot sets	en
dc.type	journalArticle	en

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