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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Volume 256, Pages 89–101
(Mi tm457)
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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
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
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
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https://www.mathnet.ru/eng/tm457 https://www.mathnet.ru/eng/tm/v256/p89
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Abstract page: | 561 | Full-text PDF : | 322 | References: | 114 |
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