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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 68, Number 1, Pages 58–68 (Mi tmf5148)  
This article is cited in 6 scientific papers (total in 6 papers)

A dynamical system with infinitely many degrees of freedom and solution of the Frenkel'–Kontorova problem

L. D. Pustyl'nikov
Full-text PDF (1091 kB) Citations (6)
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Abstract: A system with infinitely many particles and Frenkel'–Kontorova potential is studied. Solutions of the Frenkel'–Kontorova problem are found, the stability of the stationary solutions is proved, and families of synchronous, periodic, and conditionally periodic motions are constructed.
Received: 25.02.1985
English version:
Theoretical and Mathematical Physics, 1986, Volume 68, Issue 1, Pages 673–681
DOI: https://doi.org/10.1007/BF01017796
Bibliographic databases:
Language: Russian
Citation: L. D. Pustyl'nikov, “A dynamical system with infinitely many degrees of freedom and solution of the Frenkel'–Kontorova problem”, TMF, 68:1 (1986), 58–68; Theoret. and Math. Phys., 68:1 (1986), 673–681
Citation in format AMSBIB
\Bibitem{Pus86}
\by L.~D.~Pustyl'nikov
\paper A~dynamical system with infinitely many degrees of freedom and solution of the Frenkel'--Kontorova problem
\jour TMF
\yr 1986
\vol 68
\issue 1
\pages 58--68
\mathnet{http://mi.mathnet.ru/tmf5148}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=875180}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 68
\issue 1
\pages 673--681
\crossref{https://doi.org/10.1007/BF01017796}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986G092700005}
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  • https://www.mathnet.ru/eng/tmf5148
  • https://www.mathnet.ru/eng/tmf/v68/i1/p58
    • This publication is cited in the following 6 articles:
    1. T. Kr�ger, L. D. Pustyl'nikov, S. Troubetzkoy, “The nonautonomous function-theoretic center problem”, Bol. Soc. Bras. Mat, 30:1 (1999), 1  crossref
    2. L. D. Pustyl'nikov, “Infinite-dimensional non-linear ordinary differential equations and the KAM theory”, Russian Math. Surveys, 52:3 (1997), 551–604  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. L. D. Pustyl'nikov, “Poincaré models, rigorous justification of the second element of thermodynamics on the basis of mechanics, and the Fermi acceleration mechanism”, Russian Math. Surveys, 50:1 (1995), 145–189  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. L. D. Pustyl'nikov, “Construction of periodic solutions in an infinite system of Fermi–Pasta–Ulam ordinary differential equations, stability, and KAM theory”, Russian Math. Surveys, 50:2 (1995), 449–450  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    5. L. D. Pustyl'nikov, “On non-unique solubility and insolubility of an analytic infinite-dimensional ordinary differential equation of chain type”, Russian Math. Surveys, 50:6 (1995), 1297–1298  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    6. L. D. Pustyl'nikov, “Infinite-dimensional strange attractors and bifurcations in adynamical system with infinitely many degrees of freedom”, Theoret. and Math. Phys., 92:1 (1992), 754–758  mathnet  crossref  mathscinet  zmath  isi
    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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    Abstract page:318
    Full-text PDF :114
    References:53
    First page:1
     
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