The period function for quadratic integrable systems with cubic orbits (Q705259)

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scientific article; zbMATH DE number 2131137
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The period function for quadratic integrable systems with cubic orbits
scientific article; zbMATH DE number 2131137

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    The period function for quadratic integrable systems with cubic orbits (English)
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    26 January 2005
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    The paper is devoted to the period function of periodic orbits for quadratic integrable systems with centers whose almost all orbits are cubics. The main result is that the corresponding period function has at most one critical point. The proof is based on the Picard-Fuchs equation for algebraic curves.
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    separate items system
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    Abelian integral
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