Preprint of the project:

08-114 Joseph Paez, Lajos Loczi.
Preservation of bifurcations under Runge-Kutta methods


We prove that fold, cusp and Bogdanov-Takens bifurcations of N-dimensional, continuous-time systems persist under Runge-Kutta methods. Compact formulae for the computation of the discretized normal form coefficients and critical generalized eigenvectors are derived.