TY - JOUR
T1 - Fixed Points, Symmetries, and Bounds for Basins of Attraction of Complex Trigonometric Functions
AU - Bray, Kasey
AU - Dwyer, Jerry
AU - Barnard, Roger W.
AU - Williams, G. Brock
N1 - Publisher Copyright:
© 2020 Kasey Bray et al.
PY - 2020
Y1 - 2020
N2 - The dynamical systems of trigonometric functions are explored, with a focus on tz=tanz and the fractal image created by iterating the Newton map, Ftz, of tz. The basins of attraction created from iterating Ftz are analyzed, and some bounds are determined for the primary basins of attraction. We further prove x- A nd y-axis symmetry of the Newton map and explore the nature of the fractal images.
AB - The dynamical systems of trigonometric functions are explored, with a focus on tz=tanz and the fractal image created by iterating the Newton map, Ftz, of tz. The basins of attraction created from iterating Ftz are analyzed, and some bounds are determined for the primary basins of attraction. We further prove x- A nd y-axis symmetry of the Newton map and explore the nature of the fractal images.
UR - http://www.scopus.com/inward/record.url?scp=85084477022&partnerID=8YFLogxK
U2 - 10.1155/2020/1853467
DO - 10.1155/2020/1853467
M3 - Article
AN - SCOPUS:85084477022
VL - 2020
JO - International Journal of Mathematics and Mathematical Sciences
JF - International Journal of Mathematics and Mathematical Sciences
SN - 0161-1712
M1 - 1853467
ER -