Titlebook: Computer Algebra in Scientific Computing; 12th International W Vladimir P. Gerdt,Wolfram Koepf,Evgenii V. Vorozht Conference proceedings 20

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On Sufficient Conditions for Integrability of a Planar System of ODEs Near a Degenerate Stationary the system near a degenerate stationary point we use an approach based on the Power Geometry Method and on the computation of resonant normal forms. For a planar system depending on five parameters we give four series of conditions on parameters of the system for which it is integrable near the degenerate stationary point.

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