Singular Perturbations of Multibrot Set Polynomials

Yıl 2022, , 130 - 135, 29.12.2022

Figen Çilingir

https://doi.org/10.32323/ujma.1174056

Öz

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.

Anahtar Kelimeler

Newton basin, Rational iteration, Julia set, Perturbation

Proje Numarası

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Kaynakça

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