Dynamics of Iterations of the Newton Map of sin(z)

Autor: Aimée Cloutier, Jerry Dwyer, Roger W. Barnard, William D. Stone, G. Brock Williams
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Symmetry, Vol 16, Iss 2, p 162 (2024)
Druh dokumentu: article
ISSN: 16020162
2073-8994
12774014
DOI: 10.3390/sym16020162
Popis: The dynamical systems of trigonometric functions are explored, with a focus on sz=sin(z) and the fractal image created by iterating the Newton map, Fs(z), of s(z). The basins of attraction created from iterating Fs(z) are analyzed, and some bounds are determined for the primary basins of attraction. We further prove x and y-axis symmetry of the Newton map as well as some interesting results on periodic points on the real axis.
Databáze: Directory of Open Access Journals
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