Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 163, Pages 15–24 (Mi into448)  
This article is cited in 1 scientific paper (total in 1 paper)

On the frequency of a nonlinear oscillator

L. A. Kalyakin

Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa
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Abstract: In the study of nonlinear oscillations, the question on the dependence of the frequency or the period on the energy often arises. In this paper, we find conditions under which the frequency depends on the energy monotonically. In addition, for oscillations near separatrix trajectories, an asymptotics of the period with respect to the energy is constructed.
Keywords: nonlinear oscillations, period, frequency, asymptotics.
Bibliographic databases:
Document Type: Article
UDC: 517.928
MSC: 34E10
Language: Russian
Citation: L. A. Kalyakin, “On the frequency of a nonlinear oscillator”, Differential Equations, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 163, VINITI, Moscow, 2019, 15–24
Citation in format AMSBIB
\Bibitem{Kal19}
\by L.~A.~Kalyakin
\paper On the frequency of a nonlinear oscillator
\inbook Differential Equations
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 163
\pages 15--24
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into448}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4014973}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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