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Matematicheskie Zametki, 1998, Volume 64, Issue 1, Pages 115–128
DOI: https://doi.org/10.4213/mzm1377 (Mi mzm1377) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Canonically conjugate variables for the Volterra lattice with periodic boundary conditions

A. V. Penskoi

M. V. Lomonosov Moscow State University
Full-text PDF (221 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm1377
Abstract: The Volterra lattice is considered. This dynamical system is known to be Hamiltonian with respect to two compatible Poisson brackets (quadratic and cubic). For each of the two brackets, a set of canonically conjugate variables is found by using the spectral theory of the Jacobi operator.
Received: 21.01.1997
Revised: 17.09.1997
English version:
Mathematical Notes, 1998, Volume 64, Issue 1, Pages 98–109
DOI: https://doi.org/10.1007/BF02307200
Bibliographic databases:
UDC: 517.93
Language: Russian
Citation: A. V. Penskoi, “Canonically conjugate variables for the Volterra lattice with periodic boundary conditions”, Mat. Zametki, 64:1 (1998), 115–128; Math. Notes, 64:1 (1998), 98–109
Citation in format AMSBIB
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\jour Math. Notes
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\crossref{https://doi.org/10.1007/BF02307200}
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  • https://www.mathnet.ru/eng/mzm1377
  • https://doi.org/10.4213/mzm1377
  • https://www.mathnet.ru/eng/mzm/v64/i1/p115
    • This publication is cited in the following 3 articles:
    1. Pantelis A. Damianou, Fani Petalidou, “On the liouville intergrability of Lotka-Volterra systems”, Front. Phys., 2 (2014)  crossref
    2. Falqui, G, “Gel'fand-Zakharevich systems and algebraic integrability: The Volterra lattice revisited”, Regular & Chaotic Dynamics, 10:4 (2005), 399  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    3. Veselov, AP, “Algebro-geometric Poisson brackets for difference operators and the Volterra lattice”, Doklady Akademii Nauk, 366:3 (1999), 299  mathnet  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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