On the uniqueness of limit cycles for Li\'enard equation: the legacy of G. Sansone

We give an account of the results about limit cycle's uniqueness for Li\'enard equations, from Levinson-Smith's one to the most recent ones. We present a new uniqueness theorem in the line of Sansone-Massera's geometrical approach.

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Hauptverfasser: Sabatini, M, Villari, G
Format: Artikel
Sprache:eng
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Zusammenfassung:We give an account of the results about limit cycle's uniqueness for Li\'enard equations, from Levinson-Smith's one to the most recent ones. We present a new uniqueness theorem in the line of Sansone-Massera's geometrical approach.
DOI:10.48550/arxiv.1101.2761