Abstract
We consider analytic perturbations of quadratic homogeneous differential systems having an isolated singularity at the origin. We characterize 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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Acknowledgements
The authors are partially supported by a MINECO/FEDER grant number MTM2014-56272-C2-2 and by the Consejería de Educación y Ciencia de la Junta de Andalucía (projects P12-FQM-1658, FQM-276).
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Algaba, A., García, C. & Reyes, M. Analytical Integrability of Perturbations of Quadratic Systems. Mediterr. J. Math. 18, 8 (2021). https://doi.org/10.1007/s00009-020-01647-8
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DOI: https://doi.org/10.1007/s00009-020-01647-8