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Uspekhi Fizicheskikh Nauk, 1983, Volume 141, Number 4, Pages 569–590
DOI: https://doi.org/10.3367/UFNr.0141.198312a.0569 (Mi ufn8747) 		 
This article is cited in 36 scientific papers (total in 37 papers)

REVIEWS OF TOPICAL PROBLEMS

Singularities, bifurcations, and catastrophes

V. I. Arnol'd

Lomonosov Moscow State University
Full-text PDF (1710 kB) Citations (37)
DOI: https://doi.org/10.3367/UFNr.0141.198312a.0569
Abstract: The theories of smooth-mapping singularities and dynamical-system bifurcations are reviewed. Mention is made of the applications to optics (caustic and wave-front metamorphoses) and to theories of short-wave asymptotics, the origin of large-scale structure in the universe, and loss of equilibrium and self-oscillation stability (“catastrophe theory”).
English version:
Physics–Uspekhi, 1983, Volume 26, Issue 12, Pages 1025–1037
DOI: https://doi.org/10.1070/PU1983v026n12ABEH004581
Document Type: Article
UDC: 517.9+532.59
PACS: 02.30.-f, 03.40.Kf
Language: Russian
Citation: V. I. Arnol'd, “Singularities, bifurcations, and catastrophes”, UFN, 141:4 (1983), 569–590; Phys. Usp., 26:12 (1983), 1025–1037
Citation in format AMSBIB
\Bibitem{Arn83}
\by V.~I.~Arnol'd
\paper Singularities, bifurcations, and catastrophes
\jour UFN
\yr 1983
\vol 141
\issue 4
\pages 569--590
\mathnet{http://mi.mathnet.ru/ufn8747}
\crossref{https://doi.org/10.3367/UFNr.0141.198312a.0569}
\transl
\jour Phys. Usp.
\yr 1983
\vol 26
\issue 12
\pages 1025--1037
\crossref{https://doi.org/10.1070/PU1983v026n12ABEH004581}
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    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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