In this paper, using geometric properties of the field rotation parameters, we present a solution of Smale’s Thirteenth Problem on the maximum number of limit cycles for Li´enard’s polynomial system, generalize the obtained results for special classes of polynomial systems, and complete the global qualitative analysis of a piecewise linear dynamical system approximating a Li´enard-type polynomial system with an arbitrary number of finite singularities.
@article{1504,
title = {Limit Cycles of Li\'{}enard-Type Dynamical Systems},
journal = {CUBO, A Mathematical Journal},
volume = {10},
year = {2008},
language = {en},
url = {http://dml.mathdoc.fr/item/1504}
}
Gaiko, Valery A. Limit Cycles of Li´enard-Type Dynamical Systems. CUBO, A Mathematical Journal, Tome 10 (2008) . http://gdmltest.u-ga.fr/item/1504/