On the numerical analysis of the imperfect bifurcation of codim <= 3

摘要

A postprocessing analysis of a previously computed bifurcation point of codim less than or equal to 3, corank = 1 is proposed. Some cases with codim > 3 also are included. Our aim is to predict quantitatively imperfect bifurcation phenomena. Our idea is to compute the differential of the diffeomorphism that links the state and parameter variables of the actual problem with its normal form. [References: 35]