A. G. Shalashov, “Can we refer to Hamilton's equations for an oscillator with friction?”, UFN, 2018, Volume 188, Number 11,Pages <nobr>1191

This article is cited in 4 papers

METHODOLOGICAL NOTES

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

A. G. Shalashov^ab

^a Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod
^b Lobachevski State University of Nizhni Novgorod

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.

PACS: 45.05.+x, 45.20.-d

Received: September 4, 2017
Revised: December 21, 2017
Accepted: December 26, 2017

DOI: 10.3367/UFNr.2017.12.038273