Geodesic
Global attractor of a differentiable autonomous system on the plane
Annales Polonici Mathematici, Tome 62 (1995) no. 2, pp. 143-154

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We study the structure of a differentiable autonomous system on the plane with non-positive divergence outside a bounded set. It is shown that under certain conditions such a system has a global attractor. The main result here can be seen as an improvement of the results of Olech and Meisters in [7,9] concerning the global asymptotic stability conjecture of Markus and Yamabe and the Jacobian Conjecture.
DOI : 10.4064/ap-62-2-143-154
Keywords: Markus-Yamabe Conjecture, asymptotically stable, Jacobian Conjecture

Chau Nguyen 1

1 
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Chau Nguyen. Global attractor of a differentiable autonomous system on the plane. Annales Polonici Mathematici, Tome 62 (1995) no. 2, pp. 143-154. doi: 10.4064/ap-62-2-143-154

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