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

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dc.creatorBray, Kasey
dc.creatorDwyer, Jerry (TTU)
dc.creatorBarnard, Roger W. (TTU)
dc.creatorWilliams, G. Brock (TTU)
dc.date.accessioned2023-08-23T15:57:00Z
dc.date.available2023-08-23T15:57:00Z
dc.date.issued2020
dc.description© 2020 Kasey Bray et al. cc-by
dc.description.abstractThe 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.
dc.identifier.citationBray, K., Dwyer, J., Barnard, R.W., & Williams, G.B.. 2020. Fixed Points, Symmetries, and Bounds for Basins of Attraction of Complex Trigonometric Functions. International Journal of Mathematics and Mathematical Sciences, 2020. https://doi.org/10.1155/2020/1853467
dc.identifier.urihttps://doi.org/10.1155/2020/1853467
dc.identifier.urihttps://hdl.handle.net/2346/95671
dc.language.isoeng
dc.titleFixed Points, Symmetries, and Bounds for Basins of Attraction of Complex Trigonometric Functions
dc.typeArticle

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