Geodesic
Computing the differential of an unfolded contact diffeomorphism
Applications of Mathematics, Tome 48 (2003) no. 1, pp. 3-30

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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.
DOI : 10.1023/A:1022950819918
Classification : 34A34, 35B32, 37C05, 47J15, 58K20, 65L99, 65P30
Keywords: bifurcation points; imperfect bifurcation diagrams; qualitative analysis 
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Böhmer, Klaus; Janovská, Drahoslava; Janovský, Vladimír. Computing the differential of an unfolded contact diffeomorphism. Applications of Mathematics, Tome 48 (2003) no. 1, pp. 3-30. doi: 10.1023/A:1022950819918

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