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Izvestiya: Mathematics, 1995, Volume 59, Issue 1, Pages 63–100
DOI: https://doi.org/10.1070/IM1995v059n01ABEH000003 (Mi im3) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Orbital invariants of integrable Hamiltonian systems. The case of simple systems. Orbital classification of systems of Euler type in rigid body dynamics

A. V. Bolsinov, A. T. Fomenkoa

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (2181 kB) Citations (6)
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DOI: https://doi.org/10.1070/IM1995v059n01ABEH000003
Abstract: In this paper new orbital invariants of integrable Hamiltonian systems with two degrees of freedom are described, considered on non-singular three-dimensional constant-energy surfaces. A classification up to orbit-preserving homeomorphisms is obtained for dynamical systems that describe the rotation of a rigid body around its centre of mass for various values of the parameters.
Received: 23.02.1994
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1995, Volume 59, Issue 1, Pages 65–102
Bibliographic databases:
Document Type: Article
MSC: 58F05
Language: English
Original paper language: Russian
Citation: A. V. Bolsinov, A. T. Fomenko, “Orbital invariants of integrable Hamiltonian systems. The case of simple systems. Orbital classification of systems of Euler type in rigid body dynamics”, Izv. RAN. Ser. Mat., 59:1 (1995), 65–102; Izv. Math., 59:1 (1995), 63–100
Citation in format AMSBIB
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\by A.~V.~Bolsinov, A.~T.~Fomenko
\paper Orbital invariants of integrable Hamiltonian systems. The case of simple systems. Orbital classification of systems of Euler type in rigid body dynamics
\jour Izv. RAN. Ser. Mat.
\yr 1995
\vol 59
\issue 1
\pages 65--102
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1328555}
\zmath{https://zbmath.org/?q=an:0840.58022}
\transl
\jour Izv. Math.
\yr 1995
\vol 59
\issue 1
\pages 63--100
\crossref{https://doi.org/10.1070/IM1995v059n01ABEH000003}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RZ88700003}
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  • https://doi.org/10.1070/IM1995v059n01ABEH000003
  • https://www.mathnet.ru/eng/im/v59/i1/p65
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:483
    Russian version PDF:158
    English version PDF:8
    References:71
    First page:4
     
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