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Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system
Algaba A.
García C.
Reyes M.
Gine J.
Nonlinear Analysis, Theory, Methods and Applications
Doi 10.1016/j.na.2023.113304
Volumen 234
2023-09-01
Citas: 1
Abstract
© 2023 The Author(s)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.
Analytically integrability, Orbitally equivalent, Semi-quasihomogeneous system
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