Computing the differential of an unfolded contact diffeomorphism.
The authors construct algorithms for a computation of the differential \(D\Phi (0)\) of a diffeomorphism \(\Phi \) linking the solution set of a bifurcation problem with the corresponding unfolded normal form. They consider cases of codim \(\leq 3\), corank \(=1\) bifurcation singularities, in particular, pitchfork, hysteresis, assymetric cusp and winged cusp. In each particular case, they formulate the data necessary for the computation of \(D\Phi (0)\).
scientific article; zbMATH DE number 5074673
scientific article