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 Tr. Mat. Inst. Steklova, 2012, Volume 278, Pages 269–275 (Mi tm3413)

Stability of local transitivity of a generic control system on a surface with boundary

Hy Ðú'c Mạnh

Abstract: A classification of generic singularities of local transitivity of smooth control systems on surfaces with boundary is obtained. The stability of these singularities and of the entire set of points with identical properties of local transitivity with respect to small perturbations of a generic system is proved.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2012, 278, 260–266

Bibliographic databases:

Document Type: Article
UDC: 517.97

Citation: Hy Ðú'c Mạnh, “Stability of local transitivity of a generic control system on a surface with boundary”, Differential equations and dynamical systems, Collected papers, Tr. Mat. Inst. Steklova, 278, MAIK Nauka/Interperiodica, Moscow, 2012, 269–275; Proc. Steklov Inst. Math., 278 (2012), 260–266

Citation in format AMSBIB
\Bibitem{Mnh12} \by Hy~{\DJ}\'u'c~M{\d a}nh \paper Stability of local transitivity of a~generic control system on a~surface with boundary \inbook Differential equations and dynamical systems \bookinfo Collected papers \serial Tr. Mat. Inst. Steklova \yr 2012 \vol 278 \pages 269--275 \publ MAIK Nauka/Interperiodica \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm3413} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3059117} \transl \jour Proc. Steklov Inst. Math. \yr 2012 \vol 278 \pages 260--266 \crossref{https://doi.org/10.1134/S0081543812060259} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000309861500025} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84867378310}