Roger Bagula
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 Posted: Sat Jul 12, 2008 11:30 pm Post subject: Quasi-Mandelbrot sets for perturbed complex analytic map |
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[0807.1667] Quasi-Mandelbrot sets for perturbed complex analytic map
http://arxiv.org/abs/0807.1667
Quasi-Mandelbrot sets for perturbed complex analytic maps: visual patterns
Authors: A. V. Toporensky
(Submitted on 10 Jul 2008)
Abstract: We consider perturbations of the complex quadratic map $ z
\to z^2 +c$ and corresponding changes in their quasi-Mandelbrot sets.
Depending on particular perturbation, visual forms of quasi-Mandelbrot
set changes either sharply (when the perturbation reaches some critical
value) or continuously. In the latter case we have a smooth transition
from the classical form of the set to some forms, constructed from
mostly linear structures, as it is typical for two-dimensional real
number dynamics. Two examples of continuous evolution of the
quasi-Mandelbrot set are described.
Comments: 6 pages with 10 JPEG pictures
Subjects: Graphics (cs.GR)
Cite as: arXiv:0807.1667v1 [cs.GR]
http://arxiv.org/ps/0807.1667v1
PostScript for 0807.1667v1
The following files are available for 0807.1667v1
* paper (40.5 kB)
* fig1.jpg (55.3 kB)
* fig2.jpg (58.1 kB)
* fig3.jpg (74.9 kB)
* fig4.jpg (55.0 kB)
* fig5.jpg (67.7 kB)
* fig6.jpg (64.0 kB)
* fig7.jpg (49.6 kB)
* fig8.jpg (57.1 kB)
* fig9.jpg (57.8 kB)
* fig10.jpg (44.4 kB) |
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