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
Huzak, Renato; Vlah, Domagoj; Žubrinić, Darko; Županović, Vesna Fractal analysis of degenerate spiral trajectories of a class of ordinary differential equations. (English) Zbl 1510.37043 Appl. Math. Comput. 438, Article ID 127569, 15 p. (2023). MSC: 37C45 34C28 PDFBibTeX XMLCite \textit{R. Huzak} et al., Appl. Math. Comput. 438, Article ID 127569, 15 p. (2023; Zbl 1510.37043) Full Text: DOI arXiv
Huzak, R.; Kristiansen, K. Uldall The number of limit cycles for regularized piecewise polynomial systems is unbounded. (English) Zbl 1512.34073 J. Differ. Equations 342, 34-62 (2023). Reviewer: Kuilin Wu (Guiyang) MSC: 34C07 34A36 34E15 34E17 34C05 34C23 PDFBibTeX XMLCite \textit{R. Huzak} and \textit{K. U. Kristiansen}, J. Differ. Equations 342, 34--62 (2023; Zbl 1512.34073) Full Text: DOI arXiv
Huzak, Renato; Rojas, David Abelian integrals and non-generic turning points. (English) Zbl 1504.34084 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 77, 18 p. (2022). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C08 34E15 34E17 PDFBibTeX XMLCite \textit{R. Huzak} and \textit{D. Rojas}, Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 77, 18 p. (2022; Zbl 1504.34084) Full Text: DOI
Huzak, Renato Cyclicity of canard cycles with hyperbolic saddles located away from the critical curve. (English) Zbl 1493.34163 J. Differ. Equations 320, 479-509 (2022). MSC: 34E17 34C07 34C23 34C05 34E15 34C26 34E20 PDFBibTeX XMLCite \textit{R. Huzak}, J. Differ. Equations 320, 479--509 (2022; Zbl 1493.34163) Full Text: DOI
Huzak, Renato; Crnković, Vlatko; Vlah, Domagoj Fractal dimensions and two-dimensional slow-fast systems. (English) Zbl 1470.34150 J. Math. Anal. Appl. 501, No. 2, Article ID 125212, 21 p. (2021). MSC: 34E15 34A26 34E17 34C23 11M41 28A80 37C45 PDFBibTeX XMLCite \textit{R. Huzak} et al., J. Math. Anal. Appl. 501, No. 2, Article ID 125212, 21 p. (2021; Zbl 1470.34150) Full Text: DOI
Huzak, Renato Canard explosion near non-Liénard type slow-fast Hopf point. (English) Zbl 1426.34071 J. Dyn. Differ. Equations 31, No. 2, 683-709 (2019). Reviewer: Robert Vrabel (Trnava) MSC: 34E17 34C23 34E15 34C05 34E10 PDFBibTeX XMLCite \textit{R. Huzak}, J. Dyn. Differ. Equations 31, No. 2, 683--709 (2019; Zbl 1426.34071) Full Text: DOI
Huzak, Renato Box dimension and cyclicity of Canard cycles. (English) Zbl 1402.34063 Qual. Theory Dyn. Syst. 17, No. 2, 475-493 (2018). MSC: 34E17 34C07 34C26 37C45 34E15 PDFBibTeX XMLCite \textit{R. Huzak}, Qual. Theory Dyn. Syst. 17, No. 2, 475--493 (2018; Zbl 1402.34063) Full Text: DOI Link
Huzak, Renato Normal forms of Liénard type for analytic unfoldings of nilpotent singularities. (English) Zbl 1378.37086 Proc. Am. Math. Soc. 145, No. 10, 4325-4336 (2017). Reviewer: Mohamed Selmi (Sousse-Riadh) MSC: 37G05 34M45 32G05 58H10 58H15 PDFBibTeX XMLCite \textit{R. Huzak}, Proc. Am. Math. Soc. 145, No. 10, 4325--4336 (2017; Zbl 1378.37086) Full Text: DOI Link
Huzak, Renato Regular and slow-fast codimension 4 saddle-node bifurcations. (English) Zbl 1365.34070 J. Differ. Equations 262, No. 2, 1119-1154 (2017). Reviewer: Jörg Härterich (Bochum) MSC: 34C23 34E15 37G15 34E20 34C26 34C05 PDFBibTeX XMLCite \textit{R. Huzak}, J. Differ. Equations 262, No. 2, 1119--1154 (2017; Zbl 1365.34070) Full Text: DOI
Huzak, Renato Cyclicity of the origin in slow-fast codimension 3 saddle and elliptic bifurcations. (English) Zbl 1318.34077 Discrete Contin. Dyn. Syst. 36, No. 1, 171-215 (2016). MSC: 34E15 37G15 34E20 34C23 34C26 PDFBibTeX XMLCite \textit{R. Huzak}, Discrete Contin. Dyn. Syst. 36, No. 1, 171--215 (2016; Zbl 1318.34077) 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
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