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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 173, Number 2, Pages 179–196
DOI: https://doi.org/10.4213/tmf8334
(Mi tmf8334)
 

This article is cited in 13 scientific papers (total in 13 papers)

One family of conformally Hamiltonian systems

A. V. Tsiganov

Saint-Petersburg State University, Saint-Petersburg, Russia
References:
Abstract: We propose a method for constructing conformally Hamiltonian systems of dynamical equations whose invariant measure arises from the Hamiltonian equations of motion after a change of variables including a change of time. As an example, we consider the Chaplygin problem of the rolling ball and the Veselova system on the Lie algebra $e^*(3)$ and prove their complete equivalence.
Keywords: integrable system, nonholonomic system, Chaplygin ball, Veselova system.
Received: 13.03.2012
Revised: 09.04.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 173, Issue 2, Pages 1481–1497
DOI: https://doi.org/10.1007/s11232-012-0128-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Tsiganov, “One family of conformally Hamiltonian systems”, TMF, 173:2 (2012), 179–196; Theoret. and Math. Phys., 173:2 (2012), 1481–1497
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8334
  • https://doi.org/10.4213/tmf8334
  • https://www.mathnet.ru/eng/tmf/v173/i2/p179
  • This publication is cited in the following 13 articles:
    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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    Full-text PDF :194
    References:95
    First page:18
     
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