RT Journal Article
T1 Analytical integrability problem for perturbations of cubic Kolmogorov systems
A1 Algaba Durán, Antonio
A1 García García, Cristóbal, Matemático
A1 Reyes Columé, Manuel
AB We solve, by using normal forms, the analytic integrability problem for differentialsystems in the plane whose first homogeneous component is a cubic Kolmogorovsystem being the origin an isolated singularity. As an application, we give the analyticallyintegrable systems of a class of systems x' = x(P2 + P3); y' = y(Q2 +Q3); beingPi;Qi homogeneous polynomials of degree i. We also prove that for any n>=3, thereare analytically integrable perturbations of x' = xPn; y' = yQn which are not orbitalequivalent to its first homogeneous component.
PB Elsevier
SN 0960-0779
SN 1873-2887 (electrónico)
YR 2018
FD 2018-08-01
LK https://hdl.handle.net/10272/25428
UL https://hdl.handle.net/10272/25428
LA eng
NO Algaba, A., García, C., & Reyes, M. (2018). Analytical integrability problem for perturbations of cubic Kolmogorov systems. In Chaos, Solitons & Fractals (Vol. 113, pp. 1–10). Elsevier BV. https://doi.org/10.1016/j.chaos.2018.05.011
NO The authors are partially supported by a MINECO/FEDERgrant number MTM2014-56272-C2-2 and by the Consejería de Educación y Cienciade la Junta de Andalucía (projects P12-FQM-1658, FQM-276).
DS Repositorio Institucional de la Universidad de Huelva
RD 30 may 2026