De Maesschalck, Peter; Huzak, Renato; Janssens, Ansfried; Radunović, Goran Fractal codimension of nilpotent contact points in two-dimensional slow-fast systems. (English) Zbl 1516.34087 J. Differ. Equations 355, 162-192 (2023). MSC: 34E15 34E17 34C40 28A80 28A75 34C23 34C05 PDFBibTeX XMLCite \textit{P. De Maesschalck} et al., J. Differ. Equations 355, 162--192 (2023; Zbl 1516.34087) Full Text: DOI arXiv
De Maesschalck, Peter; Doan, Thai Son; Wynen, Jeroen Intrinsic determination of the criticality of a slow-fast Hopf bifurcation. (English) Zbl 1491.34069 J. Dyn. Differ. Equations 33, No. 4, 2253-2269 (2021). Reviewer: Nikola Popovic (Edinburgh) MSC: 34E15 34C23 34C20 37G10 34C05 34D20 PDFBibTeX XMLCite \textit{P. De Maesschalck} et al., J. Dyn. Differ. Equations 33, No. 4, 2253--2269 (2021; Zbl 1491.34069) Full Text: DOI arXiv
De Maesschalck, P.; Kutafina, E.; Popović, N. Sector-delayed-Hopf-type mixed-mode oscillations in a prototypical three-time-scale model. (English) Zbl 1410.34168 Appl. Math. Comput. 273, 337-352 (2016). MSC: 34E15 34E10 34E13 34E17 37C27 37G15 PDFBibTeX XMLCite \textit{P. De Maesschalck} et al., Appl. Math. Comput. 273, 337--352 (2016; Zbl 1410.34168) Full Text: DOI Link
De Maesschalck, Peter; Schecter, Stephen The entry-exit function and geometric singular perturbation theory. (English) Zbl 1342.34078 J. Differ. Equations 260, No. 8, 6697-6715 (2016). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E20 34E17 34C26 34E10 PDFBibTeX XMLCite \textit{P. De Maesschalck} and \textit{S. Schecter}, J. Differ. Equations 260, No. 8, 6697--6715 (2016; Zbl 1342.34078) Full Text: DOI arXiv
De Maesschalck, P. Planar canards with transcritical intersections. (English) Zbl 1379.34052 Acta Appl. Math. 137, No. 1, 159-184 (2015). MSC: 34E17 34E15 34C20 34C26 34D20 PDFBibTeX XMLCite \textit{P. De Maesschalck}, Acta Appl. Math. 137, No. 1, 159--184 (2015; Zbl 1379.34052) Full Text: DOI
De Maesschalck, P.; Rebollo-Perdomo, S.; Torregrosa, J. Cyclicity of a fake saddle inside the quadratic vector fields. (English) Zbl 1314.34066 J. Differ. Equations 258, No. 2, 588-620 (2015). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C07 37G10 37G15 34D15 34C23 34C05 PDFBibTeX XMLCite \textit{P. De Maesschalck} et al., J. Differ. Equations 258, No. 2, 588--620 (2015; Zbl 1314.34066) Full Text: DOI
Huzak, Renato; De Maesschalck, P.; Dumortier, Freddy Primary birth of canard cycles in slow-fast codimension 3 elliptic bifurcations. (English) Zbl 1322.34067 Commun. Pure Appl. Anal. 13, No. 6, 2641-2673 (2014). Reviewer: Nikola Popovic (Edinburgh) MSC: 34E17 34E15 37G15 34E20 34C23 34C20 34C45 34C26 PDFBibTeX XMLCite \textit{R. Huzak} et al., Commun. Pure Appl. Anal. 13, No. 6, 2641--2673 (2014; Zbl 1322.34067) Full Text: DOI
De Maesschalck, Peter; Dumortier, Freddy; Roussarie, Robert Canard-cycle transition at a fast-fast passage through a jump point. (Transition de cycles canard pour un passage rapide-rapide par un point de saut.) (English. Abridged French version) Zbl 1287.34044 C. R., Math., Acad. Sci. Paris 352, No. 1, 27-30 (2014). MSC: 34E17 34E15 34C05 PDFBibTeX XMLCite \textit{P. De Maesschalck} et al., C. R., Math., Acad. Sci. Paris 352, No. 1, 27--30 (2014; Zbl 1287.34044) Full Text: DOI
Huzak, R.; De Maesschalck, P.; Dumortier, F. Limit cycles in slow-fast codimension 3 saddle and elliptic bifurcations. (English) Zbl 1316.34060 J. Differ. Equations 255, No. 11, 4012-4051 (2013). Reviewer: Christos Sourdis (Athens) MSC: 34E15 37G15 34E20 34C23 34C26 34C05 34C45 34C20 PDFBibTeX XMLCite \textit{R. Huzak} et al., J. Differ. Equations 255, No. 11, 4012--4051 (2013; Zbl 1316.34060) Full Text: DOI
De Maesschalck, P.; Dumortier, F. Classical Liénard equations of degree \(n\geqslant 6\) can have \([\frac{n-1}{2}]+2\) limit cycles. (English) Zbl 1215.37038 J. Differ. Equations 250, No. 4, 2162-2176 (2011). Reviewer: M. A. M. Alwash (Culver City) MSC: 37G15 34E17 34C05 34C26 PDFBibTeX XMLCite \textit{P. De Maesschalck} and \textit{F. Dumortier}, J. Differ. Equations 250, No. 4, 2162--2176 (2011; Zbl 1215.37038) Full Text: DOI
De Maesschalck, P.; Dumortier, F. Slow-fast Bogdanov-Takens bifurcations. (English) Zbl 1236.34083 J. Differ. Equations 250, No. 2, 1000-1025 (2011). Reviewer: E. V. Shchetinina (Samara) MSC: 34E15 34C23 34C26 37G10 PDFBibTeX XMLCite \textit{P. De Maesschalck} and \textit{F. Dumortier}, J. Differ. Equations 250, No. 2, 1000--1025 (2011; Zbl 1236.34083) Full Text: DOI