Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelin. Dinam., 2011, Volume 7, Number 3, Pages 627–634 (Mi nd281)  

This article is cited in 1 scientific paper (total in 1 paper)

The Lorentz force and its generalizations

Valery V. Kozlov

Steklov Mathematical Institute, Russian Academy of Sciences, Gubkina st. 8, Moscow, 119991, Russia

Abstract: The structure of the Lorentz force and the related analogy between electromagnetism and inertia are discussed. The problem of invariant manifolds of the equations of motion for a charge in an electromagnetic field and the conditions for these manifolds to be Lagrangian are considered.

Keywords: Lorentz force, Maxwell equations, Coriolis force, symplectic structure, Lagrangian manifold

Full text: PDF file (359 kB)
References: PDF file   HTML file
UDC: 531.01
MSC: 70Hxx
Received: 11.08.2011
Revised: 05.09.2011

Citation: Valery V. Kozlov, “The Lorentz force and its generalizations”, Nelin. Dinam., 7:3 (2011), 627–634

Citation in format AMSBIB
\Bibitem{Koz11}
\by Valery~V.~Kozlov
\paper The Lorentz force and its generalizations
\jour Nelin. Dinam.
\yr 2011
\vol 7
\issue 3
\pages 627--634
\mathnet{http://mi.mathnet.ru/nd281}


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    This publication is cited in the following articles:
    1. V. B. Penkov, L. V. Levina, E. A. Novikov, “Strogoe reshenie zadachi o sostoyanii lineino-uprugogo izotropnogo tela pod vozdeistviem polinomialnykh ob'emnykh sil”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 25:3 (2021), 475–490  mathnet  crossref
  • Нелинейная динамика
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