Computational Experiments with the Roots of Fibonacci-like Polynomials as a Window to Mathematics Research
Abstract
Fibonacci-like polynomials, the roots of which are responsible for a cyclic behavior of orbits of a second-order two-parametric difference equation, are considered. Using Maple and Wolfram Alpha, the location of the largest and the smallest roots responsible for the cycles of period p among the roots responsible for the cycles of periods 2kp (period-doubling) and kp (period-multiplying) has been determined. These purely computational results of experimental mathematics, made possible by the use of modern digital tools, can be used as a motivation for confirmation through not-yet-developed methods of formal mathematics.
Main Authors
Format
Articles
Research article
Published
2022
Series
Subjects
Publication in research information system
Publisher
MDPI AG
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202203031773Use this for linking
Review status
Peer reviewed
ISSN
2075-1680
DOI
https://doi.org/10.3390/axioms11020048
Language
English
Published in
Axioms
Citation
- Abramovich, S., Kuznetsov, N. V., & Leonov, G. A. (2022). Computational Experiments with the Roots of Fibonacci-like Polynomials as a Window to Mathematics Research. Axioms, 11(2), Article 48. https://doi.org/10.3390/axioms11020048
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Additional information about funding
The research received no external funding.
Copyright© 2022 by the authors. Licensee MDPI, Basel, Switzerland.