On the center-focus problem for systems with a degenerate singular point |
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Authors: | A P Sadovskii D N Cherginets |
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Institution: | 1.Belarus State University,Minsk,Belarus |
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Abstract: | For an analytic system with nonzero cubic part and with a degenerate monodromic singular point, we indicate an algorithm for constructing the asymptotic expansion of the Poincaré map. We present closed-form expressions for the first four focus quantities and find two necessary conditions for a center. |
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