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Uspekhi Fizicheskikh Nauk, 2018, Volume 188, Number 11, Pages 1191–1197
DOI: https://doi.org/10.3367/UFNr.2017.12.038273 (Mi ufn6118) 		 
This article is cited in 4 scientific papers (total in 4 papers)

METHODOLOGICAL NOTES

Can we refer to Hamilton's equations for an oscillator with friction?

A. G. Shalashovab

a Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod
b Lobachevski State University of Nizhni Novgorod
Full-text PDF (659 kB) Citations (4)
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DOI: https://doi.org/10.3367/UFNr.2017.12.038273
Abstract: A formal possibility of describing a one-dimensional dissipative problem $\ddot x=f\,(x,\dot x)$ with completely conservative Lagrange's or Hamilton's equations is discussed. A reference case of a harmonic oscillator with linear friction is considered in detail.
Received: September 4, 2017
Revised: December 21, 2017
Accepted: December 26, 2017
English version:
Physics–Uspekhi, 2018, Volume 61, Issue 11, Pages 1082–1088
DOI: https://doi.org/10.3367/UFNe.2017.12.038273
Bibliographic databases:
Document Type: Article
PACS: 45.05.+x, 45.20.-d
Language: Russian
Citation: A. G. Shalashov, “Can we refer to Hamilton's equations for an oscillator with friction?”, UFN, 188:11 (2018), 1191–1197; Phys. Usp., 61:11 (2018), 1082–1088
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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