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Tr. Mat. Inst. Steklova, 2010, Volume 268, Pages 284–303
(Mi tm2871)
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This article is cited in 2 scientific papers (total in 2 papers)
Convex hulls of surfaces with boundaries and corners and singularities of transitivity zone in $\mathbb R^3$
V. M. Zakalyukinab, A. N. Kurbatskiia
a Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia
b University of Liverpool, Liverpool, United Kingdom
Abstract:
Generic singularities of the boundary of the local transitivity set of a control system on two- and three-dimensional manifolds are classified. The indicatrices of the system are assumed to be given by generic equations and inequalities.
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English version:
Proceedings of the Steklov Institute of Mathematics, 2010, 268, 274–293
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UDC:
517.988+519.71
Received in August 2009
Citation:
V. M. Zakalyukin, A. N. Kurbatskii, “Convex hulls of surfaces with boundaries and corners and singularities of transitivity zone in $\mathbb R^3$”, Differential equations and topology. I, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Tr. Mat. Inst. Steklova, 268, MAIK Nauka/Interperiodica, Moscow, 2010, 284–303; Proc. Steklov Inst. Math., 268 (2010), 274–293
Citation in format AMSBIB
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\inbook Differential equations and topology.~I
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\vol 268
\pages 284--303
\publ MAIK Nauka/Interperiodica
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http://mi.mathnet.ru/eng/tm2871 http://mi.mathnet.ru/eng/tm/v268/p284
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
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A. N. Kurbatskii, “Singularities of the transitivity zone of surfaces with boundaries in $\mathbb R^3$”, Russian Math. Surveys, 65:3 (2010), 583–585
  -
A. A. Davydov, V. M. Zakalyukin, “Controllability of non-linear systems: generic singularities and their stability”, Russian Math. Surveys, 67:2 (2012), 255–280
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