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math.DS2019
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…
math.DS2019★ 4 cited
A class of abstract delay differential equations in the light of suns and stars
Sebastiaan G. Janssens
Using dual perturbation theory in a non-sun-reflexive context, we establish a correspondence between 1. a class of nonlinear abstract delay differential equations (DDEs) with unbou…