Computational Experiments with the Roots of Fibonacci-like Polynomials as a Window to Mathematics Research
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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2022Discipline
Computing, Information Technology and MathematicsTietotekniikkaLaskennallinen tiedeComputing, Information Technology and MathematicsMathematical Information TechnologyComputational ScienceCopyright
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
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.
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The research received no external funding.License
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