## Publications

#### 2010

S.G. Janssens, On a Normalization Technique for Codimension Two Bifurcations of Equilibria of Delay Differential Equations, Master Thesis, Utrecht University, 2010.

Under supervision of Yu.A. Kuznetsov, co-supervised by O. Diekmann.

Two journal articles based in part on this work are in preparation.

The newest versions of the free software package DDE-BIFTOOL contain an implementation for the case of delay differential equations with finitely many constant delays,

$\dot{x}(t) = f(x(t), x(t – \tau_1),\ldots,x(t – \tau_m),\alpha)$

where $x(t) \in \mathbb{R}^n$, $\alpha \in \mathbb{R}^p$ is a parameter vector and $0 < \tau_1 < \ldots < \tau_m < \infty$. This work was done in collaboration with M.M. Bosschaert, former M.Sc student of Yuri Kuznetsov, now at Hasselt University.

#### 2013

S.A. van Gils, S.G. Janssens, Yu.A. Kuznetsov, S. Visser, On local bifurcations in neural field models with transmission delays, J. Math. Biol. 66 (2013), no. 4-5, 837–887. (SpringerLinkarXiv)

#### 2015

K. Dijkstra, S.A. van Gils, S.G. Janssens, Yu.A. Kuznetsov, S. Visser, Pitchfork-Hopf bifurcations in 1D neural field models with transmission delays, Phys. D 297 (2015), 88–101. (ScienceDirect)