Issues

 / 

1979

 / 

August

  

Special issue


L. I. Mandel’shtam and the modern theory of nonlinear oscillations and waves

,
Federal Research Center A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation

The principal models and phenomena of the modem theory of nonlinear oscillations and waves are briefly reviewed in observance of L. I. Mandel'shtam's centennial. Each part of the paper, broken down into sections on ``Oscillators'', ``Self-oscillations'', and ``Modulation'', begins with a discussion of the classical models and effects of the role they play in the modern theory. Attention is concentrated on an analysis of complex behavior of simple systems, collective phenomena and ensembles of nonlinear oscillators, the initiation of self-oscillations in space, stochastic self-oscillations and waves, and the excitation, transfer, and origins of modulation in nonlinear systems and media, etc. Oscillation-theory and wave-theory models are discussed in parallel.

PACS: 03.40.Kf
DOI: 10.1070/PU1979v022n08ABEH005590
URL: https://ufn.ru/en/articles/1979/8/b/
Citation: Gaponov-Grekhov A V, Rabinovich M I "L. I. Mandel'shtam and the modern theory of nonlinear oscillations and waves" Sov. Phys. Usp. 22 590–614 (1979)
BibTexBibNote ® (generic)BibNote ® (RIS) MedlineRefWorks
PT Journal Article
TI L. I. Mandel'shtam and the modern theory of nonlinear oscillations and waves
AU Gaponov-Grekhov A V
FAU Gaponov-Grekhov AV
AU Rabinovich M I
FAU Rabinovich MI
DP 10 Aug, 1979
TA Phys. Usp.
VI 22
IP 8
PG 590-614
RX 10.1070/PU1979v022n08ABEH005590
URL https://ufn.ru/en/articles/1979/8/b/
SO Phys. Usp. 1979 Aug 10;22(8):590-614

Оригинал: Гапонов-Грехов А В, Рабинович М И «Л. И. Мандельштам и современная теория нелинейных колебаний и волн» УФН 128 579–624 (1979); DOI: 10.3367/UFNr.0128.197908b.0579

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions