Asymptotics of orbits of a Kolmogorov type planar vector field with a fixed Newton polygon

Berezovskaya, F.

doi:10.1090/S0002-9939-2014-11972-1

Asymptotics of orbits of a Kolmogorov type planar vector field with a fixed Newton polygon
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Proc. Amer. Math. Soc. 142 (2014), 2671-2681 Request permission

Abstract:

Using the Newton polygon technique we show that the orbits of a Kolmogorov type planar vector field, consisting of a finite sum of power terms, have power asymptotics while tending to the equilibria on the axes and on the boundary of the Poincaré sphere.

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