Geodesic
Dynamic quadrangles and isochronous oscillations
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 6 (2009), pp. 381-384

Voir la notice de l'article provenant de la source Math-Net.Ru

Integral formulas are exposed which express a relation between the movement times of transversal plain flows along the opposite sides of the “dynamic quadrangles” generated by the flows. In the formulas, the main role is played by the Poisson bracket. An application is presented to the theory of isochronous oscillations.
Keywords: dynamic quadrangles
Mots-clés : Poisson brackets, isochronous oscillations. 
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     author = {V. V. Ivanov},
     title = {Dynamic quadrangles and isochronous oscillations},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {381--384},
     publisher = {mathdoc},
     volume = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2009_6_a26/}
}
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V. V. Ivanov. Dynamic quadrangles and isochronous oscillations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 6 (2009), pp. 381-384. http://geodesic.mathdoc.fr/item/SEMR_2009_6_a26/