Interplay between normal forms and center manifold reduction for homoclinic predictors near Bogdanov-Takens bifurcation

Maikel M. Bosschaert, Yuri A. Kuznetsov

This paper provides for the first time correct third-order homoclinic predictors in $n$-dimensional ODEs near a generic Bogdanov-Takens bifurcation point. To achieve this, higher-o…