Algaba Durán, AntonioGarcía García, CristóbalGiné, Jaume2021-03-082021-03-082021-01Algaba Durán, A., García García, C., & Giné, J. (2020). Orbital Reversibility of Planar Vector Fields. Mathematics, 9(1), 14. DOI: https://doi.org/10.3390/math90100142227-7390http://hdl.handle.net/10272/19501In this work we use the normal form theory to establish an algorithm to determine if a planar vector field is orbitally reversible. In previous works only algorithms to determine the reversibility and conjugate reversibility have been given. The procedure is useful in the center problem because any nondegenerate and nilpotent center is orbitally reversible. Moreover, using this algorithm is possible to find degenerate centers which are orbitally reversible.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Time-reversibilityOrbital reversibilityCenter problemPlanar vector fieldsjournal article10.3390/math9010014open access