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

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 fu...

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Bibliographic Details
Main Authors: Kasey Bray, Jerry Dwyer, Roger W. Barnard, G. Brock Williams
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2020/1853467