In this paper it is exhibited the bifurcation scenario concerning a typical singularity of planar piecewise smooth vector fields in two zones. This singularity is characterized by a quadratic contact of one vector field and a quartic contact of another vector field at the same point of the switching manifold. By means of a three parameter perturbation, we observe the presence of bifurcations like: Hopf Bifurcation, Sliding Hopf Bifurcation, the birth and annihilation of chaotic scenarios, among others. The two and three dimensional bifurcation diagrams are included.

中文翻译：

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Filippov系统的平面四次-二次折叠-折叠奇点及其分岔

本文展示了两个区域中平面分段光滑矢量场的典型奇点的分岔场景。这种奇点的特征是在切换流形的同一点处一个矢量场的二次接触和另一个矢量场的四次接触。通过三参数扰动，我们观察分岔的存在，例如：Hopf 分岔、滑动 Hopf 分岔、混沌场景的产生和湮灭等。包括二维和三维分岔图。