Computer-aided analysis of imperfect bifurcation diagrams, I. simple bifurcation point and isola formation centre.

Quantitative information from the “Theory for Imperfect Bifurcation” by Golubit-sky and Schaeffer [Singularities and Groups in Bifurcation Theory, Vol. I, Springer-Verlag, New York, 1985] can be obtained at the cost of some numerical effort. The information is used to get a local approximation of the imperfect bifurcation diagrams for simple bifurcation points or isola formation centres.