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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Portland State University

2014

Mathematics

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Full-Text Articles in Physical Sciences and Mathematics

Conditional Tests On Basins Of Attraction With Finite Fields, Ian H. Dinwoodie Mar 2014

Conditional Tests On Basins Of Attraction With Finite Fields, Ian H. Dinwoodie

Mathematics and Statistics Faculty Publications and Presentations

An iterative method is given for computing the polynomials that vanish on the basin of attraction of a steady state in discrete polynomial dynamics with finite field coefficients. The algorithm is applied to dynamics of a T cell survival network where it is used to compare transition maps conditional on a basin of attraction.