A Note on Forced Oscillations in Systems on a Plane

    Received 17 March 2023; accepted 28 June 2023; published 28 September 2023

    2023, Vol. 19, no. 3, pp.  383-388

    Author(s): Polekhin I. Y.

    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


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