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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 270, Pages 7–20 (Mi tm3016)  
This article is cited in 2 scientific papers (total in 2 papers)

Quasi corner singularities

F. Alharbia, V. Zakalyukinb

a Department of Mathematical Sciences, University of Liverpool, Liverpool, UK
b Moscow State University, Moscow, Russia
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Abstract: We consider the classification of germs of functions up to a nonstandard equivalence relation similar to the quasi boundary equivalence and quasi equivalence of projections recently introduced by the second author. In fact, it is more rough than the classification of functions with respect to the group of diffeomorphisms preserving a corner (that is, a union of a pair of transversal hypersurfaces). We present the list of all simple classes and discuss its relation to the singularities of Lagrangian projections with corners. Also, we describe the bifurcation diagrams and caustics of simple quasi corner singularities.
Received in December 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 270, Pages 1–14
DOI: https://doi.org/10.1134/S0081543810030016
Bibliographic databases:
Document Type: Article
UDC: 517.988
Language: English
Citation: F. Alharbi, V. Zakalyukin, “Quasi corner singularities”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 270, MAIK Nauka/Interperiodica, Moscow, 2010, 7–20; Proc. Steklov Inst. Math., 270 (2010), 1–14
Citation in format AMSBIB
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\paper Quasi corner singularities
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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