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On perturbations of the Mandelbrot map

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Author
Argyris, J.; Andreadis, I.; Karakasidis, T. E.
Date
2000
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Abstract
In this work, we propose new applications of analytic and non-analytic perturbations of the Mandelbrot map as expressed in a two-parameter deformation family of it. The influence of alternative applications of noise for specific choices of a Mandelbrot set is also provided. Hence, we are in a position of examining the stability of this set under stochastic perturbations. (C) 2000 Elsevier Science Ltd. All rights reserved.
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http://hdl.handle.net/11615/25796
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