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

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

International Journal of Mathematics and Mathematical Sciences, 2020, vol. 2020, 1-10

Abstract:

The dynamical systems of trigonometric functions are explored, with a focus on and the fractal image created by iterating the Newton map, , of . The basins of attraction created from iterating are analyzed, and some bounds are determined for the primary basins of attraction. We further prove - and - axis symmetry of the Newton map and explore the nature of the fractal images.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:1853467

DOI: 10.1155/2020/1853467

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