Invariant curves and analytic integrability of a planar vector field
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Abstract
We give an expression of the irreducible invariant curves at the singular point.
For analytically integrable systems, we give a reduced expression of its rst integral.
This fact allows us to obtain necessary conditions of analytic integrability
at degenerate singular points.
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Algaba, A., García, C., & Reyes, M. (2019). Invariant curves and analytic integrability of a planar vector field. In Journal of Differential Equations (Vol. 266, Issues 2–3, pp. 1357–1376). Elsevier BV. https://doi.org/10.1016/j.jde.2018.07.074
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