Jan Danckaert
Vrije Universiteit Brussel
Network
Latest external collaboration on country level. Dive into details by clicking on the dots.
Publication
Featured researches published by Jan Danckaert.
Philosophical Transactions of the Royal Society A | 2013
Lionel Weicker; Thomas Erneux; Otti D'Huys; Jan Danckaert; Maxime Jacquot; Yanne K. Chembo; Laurent Larger
Square-wave oscillations exhibiting different plateau lengths have been observed experimentally by investigating an electro-optic oscillator. In a previous study, we analysed the model delay differential equations and determined an asymptotic approximation of the two plateaus. In this paper, we concentrate on the fast transition layers between plateaus and show how they contribute to the total period. We also investigate the bifurcation diagram of all possible stable solutions. We show that the square waves emerge from the first Hopf bifurcation of the basic steady state and that they may coexist with stable low-frequency periodic oscillations for the same value of the control parameter.
Archive | 2016
Lionel Weicker; Lars Keuninckx; Gaetan Friart; Jan Danckaert; Thomas Erneux
A time-delayed FitzHugh-Nagumo (FHN) system exhibiting a threshold nonlinearity is studied both experimentally and theoretically. The basic steady state is stable but distinct stable oscillatory regimes may coexist for the same values of parameters (multirhythmicity). They are characterized by periods close to an integer fraction of the delay. From an asymptotic analysis of the FHN equations, we show that the mechanism leading to those oscillations corresponds to a limit-point of limit-cycles. In order to investigate their robustness with respect to noise, we study experimentally an electrical circuit that is modeled mathematically by the same delay differential equations. We obtain quantitative agreements between numerical and experimental bifurcation diagrams for the different coexisting time-periodic regimes.
Physical Review E | 2012
Lionel Weicker; Thomas Erneux; Ottilde D'Huys; Jan Danckaert; Maxime Jacquot; Yanne K. Chembo; Laurent Larger
Physical Review E | 2014
Lionel Weicker; Thomas Erneux; Lars Keuninckx; Jan Danckaert
Archive | 2013
Lionel Weicker; Thomas Erneux; Ottilde D'Huys; Jan Danckaert; Maxime Jacquot; Yanne K. Chembo; Laurent Larger
Archive | 2013
Lionel Weicker; Thomas Erneux; Lars Keuninckx; Jan Danckaert
Archive | 2012
Lionel Weicker; Thomas Erneux; Lars Keuninckx; Jan Danckaert
Archive | 2012
Thomas Erneux; Lionel Weicker; Maxime Jacquot; Yanne K. Chembo; Laurent Larger; Ottilde D'Huys; Lars Keuninckx; Jan Danckaert
Optics InfoBase Conference Papers | 2011
Lionel Weicker; Thomas Erneux; Ottilde D'Huys; Jan Danckaert; Yanne K. Chembo; Maxime Jacquot; Laurent Larger
Archive | 2010
Thomas Erneux; Lionel Weicker; Ottilde D'Huys; Jan Danckaert