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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2021,9,30]]},"abstract":"<jats:p> In this paper, we obtain an upper bound for the number of small-amplitude limit cycles produced by Hopf bifurcation in one particular type of rational Li\u00e9nard systems in the form of [Formula: see text], [Formula: see text], where [Formula: see text] and [Formula: see text] are polynomials in [Formula: see text] with degrees [Formula: see text] and [Formula: see text], respectively. 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