1 citations · 1 across the 3 of their papers we have counts for
3 papers
Bifurcation Analysis of Generalized Hopf Bifurcation in Ordinary and Delay Differential Equations
N. A. M. Delmeire, M. M. Bosschaert, Yu. A. Kuznetsov
The generalized Hopf (Bautin) bifurcation is a well-studied codimension two bifurcation characterized by an equilibrium with a pair of simple purely imaginary eigenvalues as the on…
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 -dimensional ODEs near a generic Bogdanov-Takens bifurcation point. To achieve this, higher-o…
Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations
Maikel M. Bosschaert, Sebastiaan G. Janssens, Yuri A. Kuznetsov
In this paper we perform the parameter-dependent center manifold reduction near the generalized Hopf (Bautin), fold-Hopf, Hopf-Hopf and transcritical-Hopf bifurcations in delay dif…