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ЖУРНАЛЫ // Russian Journal of Nonlinear Dynamics // Архив

Rus. J. Nonlin. Dyn., 2023, том 19, номер 3, страницы 383–388 (Mi nd860)

Mathematical problems of nonlinearity

A Note on Forced Oscillations in Systems on a Plane

I. Yu. Polekhinabcd

a Moscow Institute of Physics and Technology, Institutskiy per. 9, Dolgoprudny, 141701 Russia
b Demidov Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000 Russia
c Steklov Mathematical Institute of the Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
d Lomonosov Moscow State University, Leninskie Gory, Moscow, 119234 Russia

Аннотация: 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 perturba- tion is small. An advantage of the results presented over analytic methods is that they can be applied in degenerate systems as well.

Ключевые слова: periodic systems, forced oscillations, systems on a plane, degenerate systems, center.

MSC: 70K40, 34C15

Поступила в редакцию: 17.03.2023
Принята в печать: 28.06.2023

Язык публикации: английский

DOI: 10.20537/nd230906



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