Quasi-Mandelbrot sets for perturbed complex analytic maps: visual patterns

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dc.creatorToporensky, A. V.
dc.date2008-07-10
dc.date.accessioned2026-07-07T09:49:36Z
dc.date.available2026-07-07T09:49:36Z
dc.descriptionWe 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.
dc.description6 pages with 10 JPEG pictures
dc.identifierhttps://arxiv.org/abs/0807.1667
dc.identifierhttp://arxiv.org/abs/0807.1667
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164650
dc.subjectGraphics
dc.titleQuasi-Mandelbrot sets for perturbed complex analytic maps: visual patterns
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