Invariant curves and analytic integrability of a planar vector field |
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| Authors: | A. Algaba C. García M. Reyes |
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| Affiliation: | Department of Integrated Science, Center of Advanced Studies in Physics, Mathematics and Computation, Huelva University, 21071, Huelva, Spain |
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| Abstract: | We give an expression of the irreducible invariant curves at the singular point. For analytically integrable systems, we provide an expression of its primitive first integral. This fact allows us to obtain necessary conditions of analytic integrability at degenerate singular points. |
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| Keywords: | Corresponding author. |
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