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A polynomial class of Markus-Yamabe counterexamples. (English) Zbl 0883.34060

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)

MSC:

34D45 Attractors of solutions to ordinary differential equations
37C70 Attractors and repellers of smooth dynamical systems and their topological structure
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