Singular Perturbations of Multibrot Set Polynomials
Abstract
We will give a complete description of the dynamics of the rational map $N_{F_{M_c}}(z)=\frac{3z^4-2z^3+c}{4z^3-3z^2+c}$ where c is a complex parameter. These are rational maps $N_{F_{M_c}}$ arising from Newton's method. The polynomial of Newton iteration function is obtained from singularly perturbed of the Multibrot set polynomial.
Keywords
Newton basin, Rational iteration, Julia set, Perturbation
Bu makale " The first International Karatekin Science and Technology Conference that held on September 1-3, 2022 " konferansına hazırlanan sunumdan elde edilen sonuçlarla ortaya çıkmıştır. Destekleyen herhangi bir kurum yoktur.
The first International Karatekin
Science and Technology Conference that held on September 1-3, 2022 konferansı düzenleyen hocalarımıza teşekkür ederim. Ayrıca editöre destek ve yarımları için teşekkür ederim.