Preprint of the project: SFB 701: Spectral Structures and Topological Methods in Mathematics - Project A2Numerical analysis of high-dimensional transfer operators08-114 Joseph Paez, Lajos Loczi. 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.
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