Geodesic
On the 16th~Hilbert Problem
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 519-527.

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For a polynomial planar vector field of degree $n\geq 3$ with $S$ ($S\geq 2$) invariant nonsingular algebraic curves of degree greater than or equal to two, we proved that the maximal number of algebraic limit cycles is $n-1$. We use the Pontryagin method to analyze the problem of the maximal number of limit cycles for Lienard's equation. 
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N. Sadovskaia; R. Ramirez. On the 16th~Hilbert Problem. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 519-527. http://geodesic.mathdoc.fr/item/TM_2002_236_a51/

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