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Regular and Chaotic Dynamics, 1998, Volume 3, Issue 2, Pages 10–19
DOI: https://doi.org/10.1070/RD1998v003n02ABEH000067 (Mi rcd935) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The generalized Maupertuis principle

M. Szydlowski

Astronomical Observatory, Jagiellonian University, ul. Orla 171, 30-244 Cracow, Poland
Citations (2)
DOI: https://doi.org/10.1070/RD1998v003n02ABEH000067
Abstract: It is proved that trajectories of any mechanical system $(M,g,V)$, where M is the configuration space, $g$ the metric defined by the kinetic energy form, and $V$ a potential function, with the natural Lagrangian, are pregeodesics with respect to the Jacobi metric $g_E=2|E-V|g$, $E$ being the total energy of the system.
Received: 24.02.1998
Bibliographic databases:
Document Type: Article
MSC: 54C22
Language: English
Citation: M. Szydlowski, “The generalized Maupertuis principle”, Regul. Chaotic Dyn., 3:2 (1998), 10–19
Citation in format AMSBIB
\Bibitem{Szy98}
\by M. Szydlowski
\paper The generalized Maupertuis principle
\jour Regul. Chaotic Dyn.
\yr 1998
\vol 3
\issue 2
\pages 10--19
\mathnet{http://mi.mathnet.ru/rcd935}
\crossref{https://doi.org/10.1070/RD1998v003n02ABEH000067}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1693462}
\zmath{https://zbmath.org/?q=an:0941.70014}
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    • This publication is cited in the following 2 articles:
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