Analytical Integrability of Perturbations of Quadratic Systems
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Abstract
We consider analytic perturbations of quadratic homogeneous
differential systems having an isolated singularity at the origin. We char-
acterize the systems with an analytic first integral at the origin. We
apply the results to two families of degenerate vector fields.
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Algaba, A., García, C., & Reyes, M. (2020). Analytical Integrability of Perturbations of Quadratic Systems. In Mediterranean Journal of Mathematics (Vol. 18, Issue 1). Springer Science and Business Media LLC. https://doi.org/10.1007/s00009-020-01647-8
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