A sufficient condition for the existence of forced oscillations in nonautonomous systems on
a plane is presented under the assumption that the magnitude of the nonautonomous perturbation
is small. An advantage of the results presented over analytic methods is that they can be
applied in degenerate systems as well.
Keywords:
periodic systems, forced oscillations, systems on a plane, degenerate systems, center
Citation:
Polekhin I. Y., A Note on Forced Oscillations in Systems on a Plane, Rus. J. Nonlin. Dyn.,
2023, Vol. 19, no. 3,
pp. 383-388
DOI:10.20537/nd230906