Analytically Integrable Centers of Perturbations of Cubic Homogeneous Systems

Algaba Durán, AntonioGarcía García, Cristóbal, MatemáticoReyes Columé, Manuel2025-04-112025-04-112021-07Algaba, A., García, C. & Reyes, M. Analytically Integrable Centers of Perturbations of Cubic Homogeneous Systems. Qual. Theory Dyn. Syst. 20, 43 (2021). https://doi.org/10.1007/s12346-021-00479-5166235921575-54601662-3592 (electrónico)https://hdl.handle.net/10272/25369We 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.engAtribución-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nd/3.0/es/Analytically Integrable Centers of Perturbations of Cubic Homogeneous Systemsjournal articleopen access12 Matemáticas