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Analytic integrability of a class of nilpotent cubic systems - MaRDI portal

Analytic integrability of a class of nilpotent cubic systems (Q1614043)

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scientific article; zbMATH DE number 1794872
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Analytic integrability of a class of nilpotent cubic systems
scientific article; zbMATH DE number 1794872

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    Analytic integrability of a class of nilpotent cubic systems (English)
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    3 September 2002
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    The authors study a family of nilpotent cubic systems having an isolated singular point at the origin. They give a characterization of those that have a certain type of analytic first integrals, characterize the singular point at the origin and show that the origin is never a center.
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    analytic integrability
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    nilpotent cubic systems
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    isolated singular point
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