Geodesic
On the 16th~Hilbert Problem
Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 519-527

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TRSPY_2002_236_a51,
     author = {N. Sadovskaia and R. Ramirez},
     title = {On the {16th~Hilbert} {Problem}},
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     volume = {236},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a51/}
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N. Sadovskaia; R. Ramirez. On the 16th~Hilbert Problem. Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 519-527. http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a51/