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Dynamics of the polynomial differential systems with homogeneous nonlinearities and a star node - MaRDI portal

Dynamics of the polynomial differential systems with homogeneous nonlinearities and a star node (Q1945869)

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scientific article; zbMATH DE number 6154870
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Dynamics of the polynomial differential systems with homogeneous nonlinearities and a star node
scientific article; zbMATH DE number 6154870

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    Dynamics of the polynomial differential systems with homogeneous nonlinearities and a star node (English)
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    17 April 2013
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    The authors consider a class of polynomial differential systems with homogeneous nonlinearities and a star node at the origin. They prove that such systems are Darboux integrable and study the existence and non-existence of limit cycles surrounding the equilibrium point located at the origin.
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    polynomial differential system
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    star node
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    limit cycle
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