Integrability and generalized center problem of resonant singular point |
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Affiliation: | 1. School of Mathematics and Statistics, Central South University, Changsha, Hunan 410075, PR China;2. School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, PR China |
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Abstract: | In this paper, integrability and generalized center condition of resonant singular point for a broad class of complex autonomous polynomial differential system are studied. A new method—integrating factor method of determining integrability of resonant singular point is obtained for any rational resonance ratio. At the same time, the relations of the first integral method and the integrating factor method with the normal form method are obtained. |
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Keywords: | Generalized center Integrability Resonant singular point Integrating factor |
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