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.

中文翻译：

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实多项式分岔轨迹的无穷远非典型点和算法检测

我们表明，二变量多项式函数在无穷远处的拓扑变化可以在无穷远处的有限数量的“非典型点”处定位。我们构造了一种低复杂度的有效算法，以便清晰地检测多项式函数的分岔值。