On Sufficient Conditions for Integrability of a Planar System of ODEs Near a Degenerate Stationary Point
We consider an autonomous system of ordinary differential equations, which is solved with respect to derivatives. To study the local integrability of 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.
Keywordsplanar ordinary differential equations integrability resonant normal form power geometry computer algebra
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