Alexander V. Vershilov, Yury A. Grigoryev, Andrey V. Tsiganov, “On an integrable deformation of the Kowalevski top”, Nelin. Dinam., 10:2 (2014), 223

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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]

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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2014, Volume 10, Number 2, Pages 223–236 (Mi nd439)

This article is cited in 3 scientific papers (total in 3 papers)

On an integrable deformation of the Kowalevski top

Alexander V. Vershilov, Yury A. Grigoryev, Andrey V. Tsiganov

Saint-Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, 199034, Russia

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Abstract: We discuss an application of the Poisson brackets deformation theory to the construction of the integrable perturbations of the given integrable systems. The main examples are the known integrable perturbations of the Kowalevski top for which we get new bi-Hamiltonian structures in the framework of the deformation theory.

Keywords: Poisson geometry, Kowalevski top.

Received: 04.06.2014
Revised: 20.06.2014

Document Type: Article

UDC: 523.5

MSC: 70H20, 37K10

Language: Russian

Citation: Alexander V. Vershilov, Yury A. Grigoryev, Andrey V. Tsiganov, “On an integrable deformation of the Kowalevski top”, Nelin. Dinam., 10:2 (2014), 223–236

Citation in format AMSBIB

\Bibitem{VerGriTsi14}

\by Alexander~V.~Vershilov, Yury~A.~Grigoryev, Andrey~V.~Tsiganov

\paper On an integrable deformation of the Kowalevski top

\jour Nelin. Dinam.

\yr 2014

\vol 10

\issue 2

\pages 223--236

\mathnet{http://mi.mathnet.ru/nd439}

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https://www.mathnet.ru/eng/nd/v10/i2/p223

This publication is cited in the following 3 articles:

Citing articles in Google Scholar: Russian citations, English citations
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References:	70

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