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Russian Mathematical Surveys, 1968, Volume 23, Issue 1, Pages 1–43
DOI: https://doi.org/10.1070/RM1968v023n01ABEH001232
(Mi rm5591)
 

This article is cited in 78 scientific papers (total in 79 papers)

Singularities of smooth mappings

V. I. Arnol'd
References:
Received: 04.09.1967
Bibliographic databases:
Document Type: Article
UDC: 517.9+517.5
Language: English
Original paper language: Russian
Citation: V. I. Arnol'd, “Singularities of smooth mappings”, Russian Math. Surveys, 23:1 (1968), 1–43
Citation in format AMSBIB
\Bibitem{Arn68}
\by V.~I.~Arnol'd
\paper Singularities of smooth mappings
\jour Russian Math. Surveys
\yr 1968
\vol 23
\issue 1
\pages 1--43
\mathnet{http://mi.mathnet.ru/eng/rm5591}
\crossref{https://doi.org/10.1070/RM1968v023n01ABEH001232}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=226655}
\zmath{https://zbmath.org/?q=an:0159.53603|0167.21702}
Linking options:
  • https://www.mathnet.ru/eng/rm5591
  • https://doi.org/10.1070/RM1968v023n01ABEH001232
  • https://www.mathnet.ru/eng/rm/v23/i1/p3
  • This publication is cited in the following 79 articles:
    1. Rijian Chen, Yile Shi, Ning Gong, Yefeng Liu, Zhijun Ren, “Generation of shaping nondiffracting structured caustic beams on the basis of stationary phase principle”, Chin. Opt. Lett., 21:10 (2023), 102601  crossref
    2. Viktor Soifer, Sergey Kharitonov, Svetlana Khonina, Yurii Strelkov, Alexey Porfirev, “Spiral Caustics of Vortex Beams”, Photonics, 8:1 (2021), 24  crossref
    3. Victor A. Danilov, 2021 International Conference on Information Technology and Nanotechnology (ITNT), 2021, 1  crossref
    4. Pavle V. M. Blagojević, Frederick R. Cohen, Michael C. Crabb, Wolfgang Lück, Günter M. Ziegler, Lecture Notes in Mathematics, 2282, Equivariant Cohomology of Configuration Spaces Mod 2, 2021, 1  crossref
    5. Sergey I. Kharitonov, Svetlana N. Khonina, Sergey G. Volotovskiy, Nikolay L. Kazanskiy, “Caustics of the vortex beams generated by vortex lenses and vortex axicons”, J. Opt. Soc. Am. A, 37:3 (2020), 476  crossref
    6. S. I. Kharitonov, S. G. Volotovskii, S. N. Khonina, “Teoriya katastrof i kaustiki radialno-simmetrichnykh puchkov”, Kompyuternaya optika, 43:2 (2019), 159–167  mathnet  crossref
    7. V. A. Soifer, S. I. Kharitonov, S. N. Khonina, S. G. Volotovsky, “Caustics of Vortex Optical Beams”, Dokl. Phys., 64:7 (2019), 276  crossref
    8. N V Dyakonov, A G Yanishevskaya, “Computer-aided design the spherical helical platform intended for the internal surface maintenance of spherical tanks”, J. Phys.: Conf. Ser., 1050 (2018), 012023  crossref
    9. Kathlén Kohn, Bernd Sturmfels, Matthew Trager, “Changing Views on Curves and Surfaces”, Acta Math Vietnam, 43:1 (2018), 1  crossref
    10. Jonathan D. Hauenstein, Charles W. Wampler, “Unification and extension of intersection algorithms in numerical algebraic geometry”, Applied Mathematics and Computation, 293 (2017), 226  crossref
    11. Jonathan D. Hauenstein, Charles W. Wampler, “Numerically intersecting algebraic varieties via witness sets”, Applied Mathematics and Computation, 219:10 (2013), 5730  crossref
    12. Jonathan D. Hauenstein, Charles W. Wampler, “Isosingular Sets and Deflation”, Found Comput Math, 2013  crossref
    13. Alberto Lovison, “Global search perspectives for multiobjective optimization”, J Glob Optim, 57:2 (2013), 385  crossref
    14. Gerd Rudolph, Matthias Schmidt, Theoretical and Mathematical Physics, Differential Geometry and Mathematical Physics, 2013, 641  crossref
    15. V. H. JORGE-PÉREZ, A. J. MIRANDA, M. J. SAIA, “COUNTING SINGULARITIES VIA FITTING IDEALS”, Int. J. Math, 23:06 (2012), 1250062  crossref
    16. Lyashkov A.A., Volkov V.Ya., “Otobrazhenie ortoganalnym proetsirovaniem poverkhnosti, zadannoi uravneniem v neyavnoi forme”, Vestnik sibirskoi gosudarstvennoi avtomobilno-dorozhnoi akademii, 2012, no. 24, 81–86  elib
    17. Alberto Lovison, “Singular Continuation: Generating Piecewise Linear Approximations to Pareto Sets via Global Analysis”, SIAM J. Optim, 21:2 (2011), 463  crossref
    18. LUCIANO BOI, “GEOMETRY OF DYNAMICAL SYSTEMS AND TOPOLOGICAL STABILITY: FROM BIFURCATION, CHAOS AND FRACTALS TO DYNAMICS IN NATURAL AND LIFE SCIENCES”, Int. J. Bifurcation Chaos, 21:03 (2011), 815  crossref
    19. The Topology of Chaos, 2011, 569  crossref
    20. John Guckenheimer, Dynamical Systems, 2010, 5  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    Успехи математических наук Russian Mathematical Surveys
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