Fixed Points, Symmetries, and Bounds for Basins of Attraction of Complex Trigonometric Functions

Kasey Bray; Jerry Dwyer; Roger W. Barnard; G. Brock Williams

doi:10.1155/2020/1853467

Fixed Points, Symmetries, and Bounds for Basins of Attraction of Complex Trigonometric Functions

Kasey Bray, Jerry Dwyer, Roger W. Barnard, G. Brock Williams

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	1853467
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2020
DOIs	https://doi.org/10.1155/2020/1853467
State	Published - 2020

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