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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.
Поступила в редакцию: 17.03.2023 Принята в печать: 28.06.2023
Образец цитирования:
I. Yu. Polekhin, “A Note on Forced Oscillations in Systems on a Plane”, Rus. J. Nonlin. Dyn., 19:3 (2023), 383–388
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nd860 https://www.mathnet.ru/rus/nd/v19/i3/p383
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