Fixed Points, Symmetries, and Bounds for Basins of Attraction of Complex Trigonometric Functions
Joint Authors
Bray, Kasey
Dwyer, Jerry
Barnard, Roger W.
Williams, G. Brock
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-23
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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- and y-axis symmetry of the Newton map and explore the nature of the fractal images.
American Psychological Association (APA)
Bray, Kasey& Dwyer, Jerry& Barnard, Roger W.& Williams, G. Brock. 2020. Fixed Points, Symmetries, and Bounds for Basins of Attraction of Complex Trigonometric Functions. International Journal of Mathematics and Mathematical Sciences،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1172611
Modern Language Association (MLA)
Bray, Kasey…[et al.]. Fixed Points, Symmetries, and Bounds for Basins of Attraction of Complex Trigonometric Functions. International Journal of Mathematics and Mathematical Sciences No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1172611
American Medical Association (AMA)
Bray, Kasey& Dwyer, Jerry& Barnard, Roger W.& Williams, G. Brock. Fixed Points, Symmetries, and Bounds for Basins of Attraction of Complex Trigonometric Functions. International Journal of Mathematics and Mathematical Sciences. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1172611
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1172611
