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This is a continuation of the work [Ba] dealing with the family of all cubic rational maps with two supersinks. We prove the existence of the following parabolic bifurcation of Mandelbrot-like sets in the parameter space of this family. Starting from a Mandelbrot-like set in cubic Newton maps and changing parameters in a continuous way, we construct a path of Mandelbrot-like sets ending in the family of parabolic maps with a fixed point of multiplier 1. Then it bifurcates into two paths of Mandelbrot-like sets, contained respectively in the set of maps with exotic or non-exotic basins. The non-exotic path ends at a Mandelbrot-like set in cubic polynomials.
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Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
1-55
Opis fizyczny
Daty
wydano
2001
Twórcy
autor
- Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland
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Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_4064-fm168-1-1