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

Autor: Cloutier, Aimée, Dwyer, Jerry, Barnard, Roger W., Stone, William D., Williams, G. Brock
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Zdroj: Symmetry (20738994); Feb2024, Vol. 16 Issue 2, p162, 10p
Abstrakt: The dynamical systems of trigonometric functions are explored, with a focus on s z = sin (z) and the fractal image created by iterating the Newton map, F s (z) , of s (z) . The basins of attraction created from iterating F s (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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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