Jelbart, S.; Kristiansen, K. U.; Szmolyan, P.; Wechselberger, M. Singularly perturbed oscillators with exponential nonlinearities. (English) Zbl 1505.34087 J. Dyn. Differ. Equations 34, No. 3, 1823-1875 (2022). MSC: 34E15 34C15 34C05 34C26 34C20 34A36 PDFBibTeX XMLCite \textit{S. Jelbart} et al., J. Dyn. Differ. Equations 34, No. 3, 1823--1875 (2022; Zbl 1505.34087) Full Text: DOI arXiv
Jelbart, Samuel; Pages, Nathan; Kirk, Vivien; Sneyd, James; Wechselberger, Martin Process-oriented geometric singular perturbation theory and calcium dynamics. (English) Zbl 1497.34060 SIAM J. Appl. Dyn. Syst. 21, No. 2, 982-1029 (2022). MSC: 34C15 34C26 34E15 92C37 34E13 93B30 PDFBibTeX XMLCite \textit{S. Jelbart} et al., SIAM J. Appl. Dyn. Syst. 21, No. 2, 982--1029 (2022; Zbl 1497.34060) Full Text: DOI arXiv
Jelbart, Samuel; Kristiansen, Kristian Uldall; Wechselberger, Martin Singularly perturbed boundary-focus bifurcations. (English) Zbl 1472.34109 J. Differ. Equations 296, 412-492 (2021). MSC: 34E15 34A36 34C20 34C05 34C23 34C26 PDFBibTeX XMLCite \textit{S. Jelbart} et al., J. Differ. Equations 296, 412--492 (2021; Zbl 1472.34109) Full Text: DOI arXiv
Jelbart, Samuel; Wechselberger, Martin Two-stroke relaxation oscillators. (English) Zbl 1486.34111 Nonlinearity 33, No. 5, 2364-2408 (2020). MSC: 34E15 34E17 34C26 PDFBibTeX XMLCite \textit{S. Jelbart} and \textit{M. Wechselberger}, Nonlinearity 33, No. 5, 2364--2408 (2020; Zbl 1486.34111) Full Text: DOI arXiv
Hayes, Michael G.; Kaper, Tasso J.; Szmolyan, Peter; Wechselberger, Martin Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations. (English) Zbl 1380.37105 Indag. Math., New Ser. 27, No. 5, 1184-1203 (2016). Reviewer: Valery A. Gaiko (Minsk) MSC: 37G15 34E15 37C45 34C23 PDFBibTeX XMLCite \textit{M. G. Hayes} et al., Indag. Math., New Ser. 27, No. 5, 1184--1203 (2016; Zbl 1380.37105) Full Text: DOI
Harley, K.; van Heijster, P.; Marangell, R.; Pettet, G. J.; Wechselberger, M. Numerical computation of an Evans function for travelling waves. (English) Zbl 1356.92013 Math. Biosci. 266, 36-51 (2015). MSC: 92C17 35K57 35C07 PDFBibTeX XMLCite \textit{K. Harley} et al., Math. Biosci. 266, 36--51 (2015; Zbl 1356.92013) Full Text: DOI arXiv
Vo, Theodore; Wechselberger, Martin Canards of folded saddle-node type I. (English) Zbl 1325.34071 SIAM J. Math. Anal. 47, No. 4, 3235-3283 (2015). MSC: 34E17 34C45 34E15 34C23 PDFBibTeX XMLCite \textit{T. Vo} and \textit{M. Wechselberger}, SIAM J. Math. Anal. 47, No. 4, 3235--3283 (2015; Zbl 1325.34071) Full Text: DOI
Wechselberger, Martin Apropos canards. (À propos de canards.) (English) Zbl 1244.34080 Trans. Am. Math. Soc. 364, No. 6, 3289-3309 (2012). MSC: 34E17 34E15 34D35 58K45 34C45 PDFBibTeX XMLCite \textit{M. Wechselberger}, Trans. Am. Math. Soc. 364, No. 6, 3289--3309 (2012; Zbl 1244.34080) Full Text: DOI
Wechselberger, Martin; Weckesser, Warren Bifurcations of mixed-mode oscillations in a stellate cell model. (English) Zbl 1177.37086 Physica D 238, No. 16, 1598-1614 (2009). Reviewer: Didier Henrion (Toulouse) MSC: 37N25 37G15 92C05 92C37 PDFBibTeX XMLCite \textit{M. Wechselberger} and \textit{W. Weckesser}, Physica D 238, No. 16, 1598--1614 (2009; Zbl 1177.37086) Full Text: DOI