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.
@article{bwmeta1.element.bwnjournal-article-apmv62z2p143bwm,
author = {Nguyen Van Chau},
title = {Global attractor of a differentiable autonomous system on the plane},
journal = {Annales Polonici Mathematici},
volume = {62},
year = {1995},
pages = {143-154},
zbl = {0835.34053},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv62z2p143bwm}
}
Nguyen Van Chau. Global attractor of a differentiable autonomous system on the plane. Annales Polonici Mathematici, Tome 62 (1995) pp. 143-154. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv62z2p143bwm/
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