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Trudy Matematicheskogo Instituta imeni V.A. Steklova, Forthcoming paper (Mi tm4439)  
Remarks on forced oscillations on manifolds

I. Yu. Polekhinabcd

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
c Lomonosov Moscow State University
d P.G. Demidov Yaroslavl State University
Abstract: Sufficient conditions for the existence of forced oscillations on a manifold are given for the case of the presence of dissipation in the system. Sufficient conditions for the existence of forced oscillations are also given for systems without dissipation in the case of a small driving force.
Keywords: periodic systems, forced oscillations, friction, dynamics on manifolds
Funding agency Grant number
Russian Science Foundation 21-71-30011
This work was supported by the Russian Science Foundation under grant no. 21-71-30011.
Received: April 14, 2024
Revised: July 16, 2024
Accepted: September 24, 2024
Document Type: Article
MSC: 34C25, 37C27, 70K40
Language: Russian
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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