Critical periods of a periodic annulus linking to equilibria at infinity in a cubic system (Q1030540)

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scientific article; zbMATH DE number 5574114
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Critical periods of a periodic annulus linking to equilibria at infinity in a cubic system
scientific article; zbMATH DE number 5574114

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    Critical periods of a periodic annulus linking to equilibria at infinity in a cubic system (English)
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    2 July 2009
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    The authors investigate critical periods for a planar cubic differential system with a periodic annulus linking to equilibria at infinity. They derive a Picard-Fuchs equation from a system of abelian integrals and a Riccati equation for a ratio of derivatives of abelian integrals.
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    planar cubic differential system
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    critical period
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    abelian integral
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    Picard-Fuchs equation
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    Riccati equation
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