An approach to solving systems of polynomials via modular arithmetics with applications

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摘要

The objective of this paper is twofold. First, we describe a method to solve large systems of polynomial equations using modular arithmetics. Then, we apply the approach to the study of the problem of linearizability for a quadratic system of ordinary differential equations.

论文关键词:34C20,13P15,13P10,08A40,Polynomial systems of ODEs,Linearizability of ODEs,Decomposition of affine varieties

论文评审过程:Received 9 December 2009, Revised 25 March 2011, Available online 25 June 2011.

论文官网地址:https://doi.org/10.1016/j.cam.2011.06.018