For perturbations of integrable non-Hamiltonian quasi-homogeneous planar vector field whose origin is a non-degenerate singular point, orbital linearization and analytic integrability are equivalent. We show a class of analytically integrable vector fields whose origin is a degenerate singular point which is orbitally equivalent to a semi-quasi-homogeneous system, that is, it is not orbital equivalent to its lowest-degree quasi-homogeneous term.
CITATION STYLE
Algaba, A., García, C., Reyes, M., & Giné, J. (2023). Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system. Nonlinear Analysis, Theory, Methods and Applications, 234. https://doi.org/10.1016/j.na.2023.113304
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