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We discuss the roughness and generality of our scheme.We study the geometry of the bifurcation diagrams of the families of vector fields in the plane. Countable number of pairwise non-equivalent germs of bifurcation diagrams in the two-parameter families is constructed. Previously, this effect was discovered for three parameters only. Our example is related to so-called saddle node (SN)-SN families unfoldings of vector fields with one saddle-node singular point and one saddle-node cycle. We prove structural stability of this family. By t
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