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A Note on Small Amplitude Limit Cycles of Liénard Equations Theory

Yassine Bouattia, Djalil Boudjehem, Ammar Makhlouf, Sulima Ahmed Zubair and Sahar Ahmed Idris

Mathematical Problems in Engineering, 2021, vol. 2021, 1-6

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:3101000

DOI: 10.1155/2021/3101000

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