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

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

Research output: Contribution to journalArticlepeer-review

Abstract

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- A nd y-axis symmetry of the Newton map and explore the nature of the fractal images.

Original languageEnglish
Article number1853467
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2020
DOIs
StatePublished - 2020

Fingerprint Dive into the research topics of 'Fixed Points, Symmetries, and Bounds for Basins of Attraction of Complex Trigonometric Functions'. Together they form a unique fingerprint.

Cite this