Abstract
In this paper, we study bifurcations of small-amplitude limit cycles of Liénard systems of the form x˙=y−F(x), y˙=−g(x), where g(x) is a cubic polynomial, and F(x) is a smooth or piecewise smooth polynomial of degree n. By using involutions, we obtain sharp upper bounds of the number of small-amplitude limit cycles produced around a singular point for some systems of this type.
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