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Reversible nilpotent centers with cubic homogeneous nonlinearities - MaRDI portal

Reversible nilpotent centers with cubic homogeneous nonlinearities (Q497750)

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scientific article; zbMATH DE number 6485370
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Reversible nilpotent centers with cubic homogeneous nonlinearities
scientific article; zbMATH DE number 6485370

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    Reversible nilpotent centers with cubic homogeneous nonlinearities (English)
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    25 September 2015
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    There are provided 13 non-topological equivalent classes of global phase portraits in the Poincaré disk of the reversible cubic system \[ \dot x= y+ Ax^2y+ Cy^3,\quad \dot y=-x^3=- x^3+ Kxy^2. \]
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    two dimensional differential systems
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    nilpotent centers
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    cubic polynomial differential systems
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    phase portrait
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