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Uspekhi Fizicheskikh Nauk, 2008, Volume 178, Number 5, Pages 489–510
DOI: https://doi.org/10.3367/UFNr.0178.200805d.0489 (Mi ufn596) 		 
This article is cited in 9 scientific papers (total in 9 papers)

METHODOLOGICAL NOTES

Impedance and parametric excitation of oscillators

B. Ya. Zel'dovich

CREOL College of Optics and Photonics of the University of Central Florida, Orlando, FL, USA
Full-text PDF (3452 kB) Citations (9) English version article
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DOI: https://doi.org/10.3367/UFNr.0178.200805d.0489
URL: https://www.ufn.ru/ru/articles/2008/5/d/
Abstract: This article deals with the linear ordinary differential equations for one or several coupled oscillators. Emphasis is placed on the separate notions of the frequency matrix (as a kinematic entity) and the impedance matrix. The latter matrix is explicitly introduced in this article, and its time dependence is shown to be responsible for parametric excitation and for nonconcervation of adiabatic invariants.
Received: October 19, 2007
Revised: January 16, 2008
English version:
Physics–Uspekhi, 2008, Volume 51, Issue 5, Pages 465–484
DOI: https://doi.org/10.1070/PU2008v051n05ABEH006498
Bibliographic databases:
Document Type: Article
PACS: 05.45.Xt, 45.05.+x, 84.30.-r
Language: Russian
Citation: B. Ya. Zel'dovich, “Impedance and parametric excitation of oscillators”, UFN, 178:5 (2008), 489–510; Phys. Usp., 51:5 (2008), 465–484
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи физических наук Physics-Uspekhi
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