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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Volume 256, Pages 89–101 (Mi tm457)  
This article is cited in 5 scientific papers (total in 5 papers)

Structural Stability of Simplest Dynamical Inequalities

Yu. A. Grishinaa, A. A. Davydovab

a Vladimir State University
b International Institute for Applied Systems Analysis, Laxenburg, Austria
Full-text PDF (214 kB) Citations (5)
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Abstract: The structural stability of families of orbits is proved for the simplest generic smooth dynamical inequality in the plane with bounded complement of the domain of complete controllability. Typical singularities of the boundaries of nonlocal transitivity zones for such inequalities are found. The stability of these singularities under small perturbations of the generic inequality is proved.
Received in June 2006
English version:
Proceedings of the Steklov Institute of Mathematics, 2007, Volume 256, Pages 80–91
DOI: https://doi.org/10.1134/S0081543807010051
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: Yu. A. Grishina, A. A. Davydov, “Structural Stability of Simplest Dynamical Inequalities”, Dynamical systems and optimization, Collected papers. Dedicated to the 70th birthday of academician Dmitrii Viktorovich Anosov, Trudy Mat. Inst. Steklova, 256, Nauka, MAIK «Nauka/Inteperiodika», M., 2007, 89–101; Proc. Steklov Inst. Math., 256 (2007), 80–91
Citation in format AMSBIB
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\by Yu.~A.~Grishina, A.~A.~Davydov
\paper Structural Stability of Simplest Dynamical Inequalities
\inbook Dynamical systems and optimization
\bookinfo Collected papers. Dedicated to the 70th birthday of academician Dmitrii Viktorovich Anosov
\serial Trudy Mat. Inst. Steklova
\yr 2007
\vol 256
\pages 89--101
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2007
\vol 256
\pages 80--91
\crossref{https://doi.org/10.1134/S0081543807010051}
\elib{https://elibrary.ru/item.asp?id=13562059}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34248346706}
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    • This publication is cited in the following 5 articles:
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