论文标题

无穷大的非典型点和真实多项式分叉基因座的算法检测

Atypical points at infinity and algorithmic detection of the bifurcation locus of real polynomials

论文作者

Dias, Luis Renato G., Joiţa, Cezar, Tibăr, Mihai

论文摘要

我们表明,在无限数量的无穷大数量的“非典型点”数量上,无限多项式函数的无穷大的拓扑变异是可以进行的。我们构建一种具有较低复杂性的有效算法,以迅速检测多项式函数的分叉值。

We show that the variation of the topology at infinity of a two-variable polynomial function is localisable at a finite number of "atypical points" at infinity. We construct an effective algorithm with low complexity in order to detect sharply the bifurcation values of the polynomial function.

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