Geodesic
Some Results on the Existence of Forced Oscillations in Mechanical Systems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected issues of mathematics and mechanics, Tome 310 (2020), pp. 267-279

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We present sufficient conditions for the existence of forced oscillations in nonautonomous mechanical systems. Previously, similar results have been obtained for systems with friction. The results presented here hold for systems both with and without friction. Some examples are given.
Keywords: forced oscillations, periodic solutions, inverted pendulum, geodesic, Nagumo condition, Ważewski method.
Mots-clés : Lefschetz–Hopf theorem 
@article{TM_2020_310_a18,
     author = {Ivan Yu. Polekhin},
     title = {Some {Results} on the {Existence} of {Forced} {Oscillations} in {Mechanical} {Systems}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {267--279},
     publisher = {mathdoc},
     volume = {310},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_310_a18/}
}
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Ivan Yu. Polekhin. Some Results on the Existence of Forced Oscillations in Mechanical Systems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected issues of mathematics and mechanics, Tome 310 (2020), pp. 267-279. http://geodesic.mathdoc.fr/item/TM_2020_310_a18/