From Newton’s method to exotic basins Part I: The parameter space
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چکیده
منابع مشابه
From Newton's method to exotic basins Part II: Bifurcation of the Mandelbrot-like sets
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 a parabolic bifurcation of the Mandelbrot-like sets in the parameter space. Starting from a Mandelbrot-like set in cubic Newton maps and changing parameters in a continuous way, we obtain a parabolic Mandelbrot-like set contained in the family of maps with a x...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1998
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-158-3-249-288