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Divergence and Poincaré-Liapunov constants for analytic differential systems (Q2344712)

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Divergence and Poincaré-Liapunov constants for analytic differential systems
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    Divergence and Poincaré-Liapunov constants for analytic differential systems (English)
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    15 May 2015
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    The work is devoted to the center-focus problem for a planar autonomous real analytic differential system with a monodromic singular point at the origin. The main result of this paper deals with some relations between the divergence of the system and the Poincaré-Liapunov constants in the cases when the origin represents a linear, nilpotent or degenerate type of singular point.
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    center problem
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    Poincaré-Liapunov constants
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    divergence
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    Hamiltonian
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