Christian, JM ORCID: https://orcid.org/0000-0003-2742-0569 and Middleton-Spencer, HAJ
2020,
'On the Nth roots of -1 and complex basin boundaries : fractals from Newton-Raphson'
, The College Mathematics Journal, 51 (2)
, pp. 95-114.
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Official URL: https://doi.org/10.1080/07468342.2020.1703452
Abstract
We consider a systematic generalization of the well-known cube roots of -1 problem to include the Nth roots. The associated fractal basin boundaries are computed, and we also explore how sensitive this class of systems is to fluctuations at its input by estimating the “uncertainty” fractal dimension. Other curious results are uncovered along the way.
Item Type: | Article |
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Schools: | Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre |
Journal or Publication Title: | The College Mathematics Journal |
Publisher: | Taylor & Francis |
ISSN: | 0746-8342 |
Related URLs: | |
Depositing User: | JM Christian |
Date Deposited: | 03 Mar 2020 10:22 |
Last Modified: | 16 Feb 2022 04:07 |
URI: | http://usir.salford.ac.uk/id/eprint/56536 |
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