A polynomial class of Markus-Yamabe counterexamples.

Anna Cima; Armengol Gasull; Francesc Mañosas

Publicacions Matemàtiques (1997)

  • Volume: 41, Issue: 1, page 85-100
  • ISSN: 0214-1493

Abstract

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In the paper [CEGHM] a polynomial counterexample to the Markus-Yamabe Conjecture and to the discrete Markus-Yamabe Question in dimension n ≥ 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 [CEGHM].

How to cite

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Cima, Anna, Gasull, Armengol, and Mañosas, Francesc. "A polynomial class of Markus-Yamabe counterexamples.." Publicacions Matemàtiques 41.1 (1997): 85-100. <http://eudml.org/doc/41288>.

@article{Cima1997,
abstract = {In the paper [CEGHM] a polynomial counterexample to the Markus-Yamabe Conjecture and to the discrete Markus-Yamabe Question in dimension n ≥ 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 [CEGHM].},
author = {Cima, Anna, Gasull, Armengol, Mañosas, Francesc},
journal = {Publicacions Matemàtiques},
keywords = {Formas cuadráticas; Campos vectoriales; Sistemas diferenciales; Ecuaciones polinómicas; Teorema estabilidad; attractor; dynamical systems; Markus-Yamabe conjecture; global dynamics},
language = {eng},
number = {1},
pages = {85-100},
title = {A polynomial class of Markus-Yamabe counterexamples.},
url = {http://eudml.org/doc/41288},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Cima, Anna
AU - Gasull, Armengol
AU - Mañosas, Francesc
TI - A polynomial class of Markus-Yamabe counterexamples.
JO - Publicacions Matemàtiques
PY - 1997
VL - 41
IS - 1
SP - 85
EP - 100
AB - In the paper [CEGHM] a polynomial counterexample to the Markus-Yamabe Conjecture and to the discrete Markus-Yamabe Question in dimension n ≥ 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 [CEGHM].
LA - eng
KW - Formas cuadráticas; Campos vectoriales; Sistemas diferenciales; Ecuaciones polinómicas; Teorema estabilidad; attractor; dynamical systems; Markus-Yamabe conjecture; global dynamics
UR - http://eudml.org/doc/41288
ER -

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