A polynomial class of Markus-Yamabe counterexamples

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A. Cima
A. Gasull
F. Mañosas
In the paper \cite{CEGHM} a polynomial counterexample to the Markus-Yamabe Conjecture and to the discrete Markus-Yamabe Question in dimension $n\ge 3$ are given. In the present paper 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 \cite{CEGHM}.

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Cima, A. et al. «A polynomial class of Markus-Yamabe counterexamples». Publicacions Matemàtiques, 1997, vol.VOL 41, núm. 1, p. 85-100, http://raco.cat/index.php/PublicacionsMatematiques/article/view/37884.