Cima, Anna; Gasull, Armengol; Mañosas, Francesc A polynomial class of Markus-Yamabe counterexamples. (English) Zbl 0883.34060 Publ. Mat., Barc. 41, No. 1, 85-100 (1997). Authors’ summary: In the paper [A. Cima, A. van den Essen, A. Gasull, E. Hubbers and F. Mañosas, Report of University of Nijmegen 9551 (1995) (to appear in Adv. Math.)] a polynomial counterexample to the Markus-Yamabe conjecture and to the discrete Markus-Yamabe question in dimension \(n\geq 3\) are given. We explain a way for obtaining a family of polynomial counterexamples containing the above ones. Finally we study the global dynamics of the examples given in the paper above. Reviewer: S.Mazanik (Minsk) Cited in 4 Documents MSC: 34D45 Attractors of solutions to ordinary differential equations 37C70 Attractors and repellers of smooth dynamical systems and their topological structure Keywords:attractor; dynamical systems; Markus-Yamabe conjecture; global dynamics PDFBibTeX XMLCite \textit{A. Cima} et al., Publ. Mat., Barc. 41, No. 1, 85--100 (1997; Zbl 0883.34060) Full Text: DOI EuDML