We discuss a result of ourselves on the global asymptotic stability conjecture for planar vector field. If the eigenvalues have strictly negative real parts at all points of the plane and there exists an equilibrium point we show an addition condition which guarantees the global asymptotic stability of the equilibrium. We also show a non surjective new example of such vector fields.
Global sinks for planar vector fields
ZAMPIERI, Gaetano
1992-01-01
Abstract
We discuss a result of ourselves on the global asymptotic stability conjecture for planar vector field. If the eigenvalues have strictly negative real parts at all points of the plane and there exists an equilibrium point we show an addition condition which guarantees the global asymptotic stability of the equilibrium. We also show a non surjective new example of such vector fields.
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