Analytically Integrable Centers of Perturbations of Cubic Homogeneous Systems

Qualitative Theory of Dynamical Systems
Doi 10.1007/s12346-021-00479-5
Volumen 20
2021-07-01
Citas: 2
Abstract
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.We consider the analytically integrable perturbations of cubic homogeneous differential systems whose origin is an isolated singularity. We prove that are orbitally equivalent to the cubic vector field associated. We also characterize the analytically integrable centers. We apply the results to two families of degenerate vector fields.
Analytic integrability, Center problem, Degenerate singular points
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