
doi: 10.3390/math9010014
handle: 10272/19501 , 10459.1/70356
In 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.
Orbital reversibility, Planar vector fields, QA1-939, Center problem, time-reversibility, center problem, orbital reversibility, planar vector fields, Time-reversibility, Mathematics
Orbital reversibility, Planar vector fields, QA1-939, Center problem, time-reversibility, center problem, orbital reversibility, planar vector fields, Time-reversibility, Mathematics
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