Chaotic Root-Finding for a Small Class of Polynomials
混沌动力学
2019-10-23 v1
摘要
In this paper we present a new closed-form solution to a chaotic difference equation, y(n+1) = a2 y(n)^2 + a1 y(n) + a0 with coefficient a0 = (a1 - 4)(a1 + 2) / (4 a2) and using this solution, show how corresponding exact roots to a special set of related polynomials of order 2^p, p in the naturals, with two independent parameters can be generated, for any p.
引用
@article{arxiv.nlin/0407042,
title = {Chaotic Root-Finding for a Small Class of Polynomials},
author = {Max Little and Daniel Heesch},
journal= {arXiv preprint arXiv:nlin/0407042},
year = {2019}
}
备注
To be published in Journal of Difference Equations and Applications, 1 latex, 1 bbl, uses hyperref package