On the family of cubic parabolic polynomials

نویسندگان

چکیده

For a sequence \begin{document}$ (a_n) $\end{document} of complex numbers we consider the cubic parabolic polynomials f_n(z) = z^3+a_n z^2+z and (F_n) iterates F_n f_n\circ\dots\circ f_1 . The Fatou set \mathcal{F}_0 is all z\in\hat{\mathbb{C}} such that normal. complement called Julia denoted by \mathcal{J}_0 aim this paper to study some properties As particular case, when constant, a_n , then iteration becomes classical f^n where f(z) z^3+a connectedness locus, M a\in\mathbb{C} connected. In investigate symmetric as well.

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ژورنال

عنوان ژورنال: Discrete and Continuous Dynamical Systems-series B

سال: 2021

ISSN: ['1531-3492', '1553-524X']

DOI: https://doi.org/10.3934/dcdsb.2021121