文章基本信息

标题：Fixed Points, Symmetries, and Bounds for Basins of Attraction of Complex Trigonometric Functions
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作者：Kasey Bray ; Jerry Dwyer ; Roger W. Barnard 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2020
卷号：2020
页码：1-10
DOI：10.1155/2020/1853467
出版社：Hindawi Publishing Corporation
摘要：The dynamical systems of trigonometric functions are explored, with a focus on t z = tan z and the fractal image created by iterating the Newton map, F t z , of t z . The basins of attraction created from iterating F t 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 and explore the nature of the fractal images.