ASYMPTOTICS OF ORBITS OF A KOLMOGOROV TYPE PLANAR VECTOR FIELD WITH A FIXED NEWTON POLYGON

作者：Berezovskaya F^*

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142(8): 2671-2681.

DOI：10.1090/S0002-9939-2014-11972-1

• Planar vector field
• Poincare sphere
• orbit asymptotics
• Newton polygon

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 Poincare sphere.

• 出版日期2014-8