6533b870fe1ef96bd12cfec9
RESEARCH PRODUCT
Computational Experiments with the Roots of Fibonacci-like Polynomials as a Window to Mathematics Research
Sergei AbramovichNikolay V. KuznetsovGennady A. Leonovsubject
generalized golden ratioscomputational experimentsnumeeriset menetelmätMapleFibonaccin lukujonopolynomitcyclesFibonacci-like polynomialskultainen leikkausWolfram Alphadescription
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. peerReviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-01-01 |