Mierczyński, Janusz; Niu, Lei; Ruiz-Herrera, Alfonso Linearization and invariant manifolds on the carrying simplex for competitive maps. (English) Zbl 1436.37041 J. Differ. Equations 267, No. 12, 7385-7410 (2019). Reviewer: Gheorghe Tigan (Timisoara) MSC: 37D10 37C05 37C15 37C25 PDFBibTeX XMLCite \textit{J. Mierczyński} et al., J. Differ. Equations 267, No. 12, 7385--7410 (2019; Zbl 1436.37041) Full Text: DOI arXiv
Mierczyński, Janusz The \(C^1\) property of convex carrying simplices for three-dimensional competitive maps. (English) Zbl 1401.37033 J. Difference Equ. Appl. 24, No. 8, 1199-1209 (2018). MSC: 37C65 39A22 PDFBibTeX XMLCite \textit{J. Mierczyński}, J. Difference Equ. Appl. 24, No. 8, 1199--1209 (2018; Zbl 1401.37033) Full Text: DOI arXiv
Jiang, Jifa; Mierczyński, Janusz; Wang, Yi Smoothness of the carrying simplex for discrete-time competitive dynamical systems: A characterization of neat embedding. (English) Zbl 1166.37009 J. Differ. Equations 246, No. 4, 1623-1672 (2009). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37D10 37C65 37N25 92D25 37D25 PDFBibTeX XMLCite \textit{J. Jiang} et al., J. Differ. Equations 246, No. 4, 1623--1672 (2009; Zbl 1166.37009) Full Text: DOI
Mierczynski, Janusz On smoothness of carrying simplices. (English) Zbl 0912.34037 Proc. Am. Math. Soc. 127, No. 2, 543-551 (1999). MSC: 34C30 92D40 37C70 PDFBibTeX XMLCite \textit{J. Mierczynski}, Proc. Am. Math. Soc. 127, No. 2, 543--551 (1999; Zbl 0912.34037) Full Text: DOI arXiv
Mierczýnski, Janusz The \(C^ 1\) property of carrying simplices for a class of competitive systems of ODEs. (English) Zbl 0804.34048 J. Differ. Equations 111, No. 2, 385-409 (1994). Reviewer: J.Andres (Olomouc) MSC: 34D05 37-XX PDFBibTeX XMLCite \textit{J. Mierczýnski}, J. Differ. Equations 111, No. 2, 385--409 (1994; Zbl 0804.34048) Full Text: DOI