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Keywords:
bifurcation points; imperfect bifurcation diagrams; qualitative analysis
Summary:
Consider a bifurcation problem, namely, its bifurcation equation. There is a diffeomorphism $\Phi$ linking the actual solution set with an unfolded normal form of the bifurcation equation. The differential $D\Phi (0)$ of this diffeomorphism is a valuable information for a numerical analysis of the imperfect bifurcation. The aim of this paper is to construct algorithms for a computation of $D\Phi (0)$. Singularity classes containing bifurcation points with $\mathop {\mathrm codim}\le 3$, $\mathop {\mathrm corank}=1$ are considered.
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