Global attractor of a differentiable autonomous system on the plane
Volume 62 / 1995
Annales Polonici Mathematici 62 (1995), 143-154
DOI: 10.4064/ap-62-2-143-154
Abstract
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.
