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arXiv · 1609.02240

Slices of Parameter Space of Cubic Polynomials

Alexander Blokh·Lex Oversteegen·Vladlen Timorin
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Abstract

In this paper, we study slices of the parameter space of cubic polynomials, up to affine conjugacy, given by a fixed value of the multiplier at a non-repelling fixed point. In particular, we study the location of the $main\, cubioid$ in this parameter space. The $main\, cubioid$ is the set of affine conjugacy classes of complex cubic polynomials that have certain dynamical properties generalizing those of polynomials $z^2+c$ for $c$ in the filled main cardioid.

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Alexander Blokh, Lex Oversteegen, Vladlen Timorin. 2016-09-08. Slices of Parameter Space of Cubic Polynomials. https://arxiv.org/abs/1609.02240

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