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A quintic polynomial differential system with eleven limit cycles at the infinity. (English) Zbl 1152.34329
Summary: In this article, a recursion formula for computing the singular point quantities of the infinity in a class of quintic polynomial systems is given. The first eleven singular point quantities are computed with the computer algebra system Mathematica. The conditions for the infinity to be a center are derived as well. Finally, a system that allows the appearance of eleven limit cycles in a small enough neighborhood of the infinity is constructed.

34C05Location of integral curves, singular points, limit cycles (ODE)
34-04Machine computation, programs (ordinary differential equations)
Full Text: DOI
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