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Matematicheskie Zametki, 2001, Volume 70, Issue 6, Pages 839–844
DOI: https://doi.org/10.4213/mzm796 (Mi mzm796) 		 
This article is cited in 7 scientific papers (total in 7 papers)

First Integrals of Groups of Complex Linear Transformations and of Natural Mechanical Systems with Homogeneous Potential

S. L. Ziglin

Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences
Full-text PDF (194 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm796
Abstract: We study the existence problem for rational first integrals of groups of complex linear transformations. The results obtained are used to study natural mechanical systems with homogeneous potential, in particular, the Suslov problem of motion of a rigid body about a fixed point under a nonholonomic constraint in the Kozlov case of zero constant energy.
Received: 10.11.2000
English version:
Mathematical Notes, 2001, Volume 70, Issue 6, Pages 765–770
DOI: https://doi.org/10.1023/A:1012955716667
Bibliographic databases:
UDC: 517.913
Language: Russian
Citation: S. L. Ziglin, “First Integrals of Groups of Complex Linear Transformations and of Natural Mechanical Systems with Homogeneous Potential”, Mat. Zametki, 70:6 (2001), 839–844; Math. Notes, 70:6 (2001), 765–770
Citation in format AMSBIB
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\pages 765--770
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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