To cope with higher degenerations, some previous results about computable normal forms are extended for two dimensional systems having a pseudo-focus within its discontinuity line. More precisely, it is shown how the standard theory of normal forms allows the analysis of pseudo-focus points when the contact order with the discontinuity boundary, being even for both vector fields, is different from each side. Once obtained the associated canonical forms, the computation of half-return maps is almost direct, and the characterization of the pseudo-focus becomes an easier task.

While the methodology is developed in its entire generality, an illustrating example with contacts of order 2 and 4 is studied in detail.

为了应对更高的退化，一些先前关于可计算范式的结果被扩展为在其不连续线内具有伪焦点的二维系统。更准确地说，它显示了当与不连续边界的接触顺序（对于两个矢量场均等）从每一侧不同时，标准范式理论如何允许分析伪焦点。一旦获得相关的规范形式，半回图的计算几乎是直接的，伪焦点的表征变得更容易。

虽然该方法是在其整个一般性上开发的，但详细研究了一个具有 2 级和 4 级联系人的说明性示例。