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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 124, Number 2, Pages 310–322
DOI: https://doi.org/10.4213/tmf641 (Mi tmf641) 		 
This article is cited in 4 scientific papers (total in 4 papers)

An integrable system related to the spherical top and the Toda chain

A. V. Tsiganov

St. Petersburg State University, Faculty of Physics
Full-text PDF (230 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf641
Abstract: We study the integrable motion over the sphere $S^2$ in the potential $V=(x_1x_2x_3)^{-2/3}$ possessing an additional integral of motion that is cubic in the momenta. We construct the Lax representation without a spectral parameter and consider the relation to the three-particle Toda chain.
Received: 05.11.1999
English version:
Theoretical and Mathematical Physics, 2000, Volume 124, Issue 2, Pages 1121–1131
DOI: https://doi.org/10.1007/BF02551082
Bibliographic databases:
Language: Russian
Citation: A. V. Tsiganov, “An integrable system related to the spherical top and the Toda chain”, TMF, 124:2 (2000), 310–322; Theoret. and Math. Phys., 124:2 (2000), 1121–1131
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    1. Borisov A. Mamaev I., “Rigid Body Dynamics”, Rigid Body Dynamics, de Gruyter Studies in Mathematical Physics, 52, Walter de Gruyter Gmbh, 2019, 1–520  mathscinet  isi
    2. Borisov, AV, “The Hamiltonian dynamics of self-gravitating liquid and gas ellipsoids”, Regular & Chaotic Dynamics, 14:2 (2009), 179  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    3. Borisov, AV, “Multiparticle systems. The algebra of integrals and integrable cases”, Regular & Chaotic Dynamics, 14:1 (2009), 18  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    4. Tsiganov, AV, “The Drach superintegrable systems”, Journal of Physics A-Mathematical and General, 33:41 (2000), 7407  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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