My interests: linear and semilinear dynamical systems, semigroups of linear operators and their adjoints, applications to delay differential equations and renewal equations, applications to local bifurcation problems. Motivation comes from models in mathematical biology and control theory.
Delay equations is also the eponym of a domain that I have registered for the plan of creating a cooperative wiki about aspects of theory and examples of delay equations. If you would like to cooperate, let me know.
Pre-prints and publications
S.G. Janssens, A class of abstract delay differential equations in the light of suns and stars. II, March 2019, arXiv:2003.13341 [math.DS, math.FA].
M.M. Bosschaert, S.G. Janssens, Yu.A. Kuznetsov, Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations, March 2019, arXiv:1903.08276 [math.DS]. Accepted for publication in SIAM Journal on Applied Dynamical Systems.
S.G. Janssens, A class of abstract delay differential equations in the light of suns and stars, January 2019, arXiv:1901.11526 [math.DS, math.FA].
Presentation for a day on Delay equations, theory and applications, Utrecht, 15 February 2019.
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, DOI: 10.1016/j.physd.2015.01.004.
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, DOI:10.1007/s00285-012-0598-6 and arXiv:1209.2849 [math.DS].
S.G. Janssens, On a Normalization Technique for Codimension Two Bifurcations of Equilibria of Delay Differential Equations, Master Thesis, Utrecht University, 2010, original or with updates (latest: 20 November 2018).
My master thesis was written under supervision of Yu.A. Kuznetsov with Odo Diekmann as co-supervisor. The updated version contains corrections and some new material – see the Summary of updates and corrections. It is available under a Creative Commons BY-NC-ND 4.0 International license.