Uspekhi Fizicheskikh Nauk
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


UFN:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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}
Linking options:
  • https://www.mathnet.ru/eng/ufn8747
  • https://www.mathnet.ru/eng/ufn/v141/i4/p569
    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи физических наук Physics-Uspekhi
    Statistics & downloads:
    Abstract page:99
    Full-text PDF :42
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024