Preprint des Projektes: SFB 701: Spektrale Strukturen und Topologische Methoden in der Mathematik - Projekt A2Numerische Spektralanalyse unendlich-dimensionaler Transferoperatoren08-114 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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