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Sbornik: Mathematics, 1995, Volume 186, Issue 1, Pages 1–27
DOI: https://doi.org/10.1070/SM1995v186n01ABEH000001 (Mi sm1) 		 
This article is cited in 19 scientific papers (total in 19 papers)

A smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom

A. V. Bolsinov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (1578 kB) Citations (19)
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DOI: https://doi.org/10.1070/SM1995v186n01ABEH000001
Abstract: In this paper we construct an invariant of integrable Hamiltonian systems with two degrees of freedom (the so-called st-molecule) enabling such systems to be classified on three-dimensional constant-energy surfaces up to orientation-preserving diffeomorphisms taking trajectories into trajectories.
Received: 08.07.1994
Russian version:
Matematicheskii Sbornik, 1995, Volume 186, Number 1, Pages 3–28
Bibliographic databases:
UDC: 517.5
MSC: 58F05
Language: English
Original paper language: Russian
Citation: A. V. Bolsinov, “A smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom”, Mat. Sb., 186:1 (1995), 3–28; Sb. Math., 186:1 (1995), 1–27
Citation in format AMSBIB
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:789
    Russian version PDF:143
    English version PDF:15
    References:77
    First page:4
     
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