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Mathematics of the USSR-Sbornik, 1970, Volume 10, Issue 1, Pages 91–102
DOI: https://doi.org/10.1070/SM1970v010n01ABEH001588 (Mi sm3363) 		 
This article is cited in 388 scientific papers (total in 388 papers)

A contribution to the problem of the structure of an extended neighborhood of a rough equilibrium state of saddle-focus type

L. P. Shilnikov
English version PDF (558 kB) Citations (388)
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DOI: https://doi.org/10.1070/SM1970v010n01ABEH001588
Abstract: It is shown that in a neighborhood of a trajectory which is doubly asymptotic to a rough state of equilibrium of saddle-focus type, under addition assumptions on the dynamical system, there exists a subsystem whose trajectories are in one-to-one correspondence with a set which is the quotient space of a topological Bernoulli process with an infinite set of symbols.
Bibliography: 10 titles.
Received: 28.03.1969
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1970, Volume 81(123), Number 1, Pages 92–103
Bibliographic databases:
UDC: 517.9
MSC: 37G20, 11B68, 37G15
Language: English
Original paper language: Russian
Citation: L. P. Shilnikov, “A contribution to the problem of the structure of an extended neighborhood of a rough equilibrium state of saddle-focus type”, Mat. Sb. (N.S.), 81(123):1 (1970), 92–103; Math. USSR-Sb., 10:1 (1970), 91–102
Citation in format AMSBIB
\Bibitem{Shi70}
\by L.~P.~Shilnikov
\paper A~contribution to the problem of the structure of an extended neighborhood of a~rough equilibrium state of saddle-focus type
\jour Mat. Sb. (N.S.)
\yr 1970
\vol 81(123)
\issue 1
\pages 92--103
\mathnet{http://mi.mathnet.ru/sm3363}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=259275}
\zmath{https://zbmath.org/?q=an:0193.05301|0216.11201}
\transl
\jour Math. USSR-Sb.
\yr 1970
\vol 10
\issue 1
\pages 91--102
\crossref{https://doi.org/10.1070/SM1970v010n01ABEH001588}
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    • This publication is cited in the following 388 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:1561
    Russian version PDF:319
    English version PDF:33
    References:110
     
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