Chaotic Root-Finding for a Small Class of Polynomials

Details Chaotic Root-Finding for a Small Class of Polynomials Chaotic Root-Finding for a Small Class of Polynomials

2004-07-17

arxiv.org/abs/nlin/0407042v1

Nonlinear Sciences

Chaotic Dynamics

To be published in Journal of Difference Equations and Applications, 1 latex, 1 bbl, uses hyperref package

Scientific paper

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.

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