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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2009, Volume 6, Pages 381–384 (Mi semr73)  
Short communications

Dynamic quadrangles and isochronous oscillations

V. V. Ivanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: 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, Poisson brackets, isochronous oscillations.
Received November 5, 2009, published November 7, 2009
Bibliographic databases:
Document Type: Article
UDC: 517.91
MSC: 34C
Language: Russian
Citation: V. V. Ivanov, “Dynamic quadrangles and isochronous oscillations”, Sib. Èlektron. Mat. Izv., 6 (2009), 381–384
Citation in format AMSBIB
\Bibitem{Iva09}
\by V.~V.~Ivanov
\paper Dynamic quadrangles and isochronous oscillations
\jour Sib. \`Elektron. Mat. Izv.
\yr 2009
\vol 6
\pages 381--384
\mathnet{http://mi.mathnet.ru/semr73}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2586696}
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