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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 155, Number 1, Pages 140–146
DOI: https://doi.org/10.4213/tmf6199 (Mi tmf6199) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Integrable systems and the topology of isospectral manifolds

A. V. Penskoiab

a N. E. Bauman Moscow State Technical University
b Independent University of Moscow
Full-text PDF (406 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6199
Abstract: We briefly review known results concerning the study of isospectral manifolds using integrable systems. We then describe new results concerning the topology of isospectral manifolds of zero-diagonal Jacobi matrices. This topology is studied using the Volterra system.
Keywords: integrable system, isospectral manifold, Volterra system.
English version:
Theoretical and Mathematical Physics, 2008, Volume 155, Issue 1, Pages 627–632
DOI: https://doi.org/10.1007/s11232-008-0052-5
Bibliographic databases:
Language: Russian
Citation: A. V. Penskoi, “Integrable systems and the topology of isospectral manifolds”, TMF, 155:1 (2008), 140–146; Theoret. and Math. Phys., 155:1 (2008), 627–632
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf6199
  • https://doi.org/10.4213/tmf6199
  • https://www.mathnet.ru/eng/tmf/v155/i1/p140
    • This publication is cited in the following 2 articles:
    1. V. V. Cherepanov, “Orbit spaces for torus actions on Hessenberg varieties”, Sb. Math., 212:12 (2021), 1765–1784  mathnet  crossref  crossref  zmath  adsnasa  isi
    2. Sutter T., Chatterjee D., Ramponi F.A., Lygeros J., “Isospectral Flows on a Class of Finite-Dimensional Jacobi Matrices”, Syst. Control Lett., 62:5 (2013), 388–394  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    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 :314
    References:98
    First page:3
     
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