A Note on Small Amplitude Limit Cycles of Liénard Equations Theory

Yassine Bouattia, Djalil Boudjehemhttp://orcid.org/0000-0001-6245-7581 A. Makhlouf

Volume 2021 |Article ID 3101000 | 

Mathematical Problems in Engineering




In this paper, we demonstrate using a counterexample for a theorem of the small amplitude limit cycles in some Liénard systems and show that that there will be no solutions unless we add an extra condition. A new condition is derived for some specific Liénard systems where a violation of the small amplitude limit cycles theorem takes place.