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Article Contents

# Two-parameter families of implicit differential equations

• We study in this paper local codimension 2 singularities of (first order) implicit differential equations $F(x,y,p)=0$, where $F$ is a germ of a smooth function, $p=\frac{dy}{dx}$, $F_p=0$ and $F_{p p}\ne 0$ at the singular point. We obtain topological models of these singularities and deal with their bifurcations in generic 2-parameter families of equations.
Mathematics Subject Classification: 34A09, 37G10, 37C10, 58K05, 53A05.

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