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Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities. - MaRDI portal

Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities. (Q1424494)

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scientific article; zbMATH DE number 2055350
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Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities.
scientific article; zbMATH DE number 2055350

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    Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities. (English)
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    14 March 2004
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    The article is devoted to Darbouxian integrable planar systems whose right-hand sides are homogeneous polynomials. A new subclass of such systems having either a focus or a center at the origin is presented. Additionally, the authors consider the existence of algebraic limit cycles of mentioned systems.
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    Integrability
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