A Note on Small Amplitude Limit Cycles of Liénard Equations Theory

Yassine Bouattia, Djalil Boudjehem A. Makhlouf

Volume 2021 |Article ID 3101000 | 

Mathematical Problems in Engineering

https://doi.org/10.1155/2021/3101000

Abstract

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.

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