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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2010, Volume 7, Pages 162–165 (Mi semr240)  
Short communications

Dynamical contours and limits of stable autonomous motions

E. P. Volokitin, V. V. Ivanov, V. M. Cheresiz

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: It is shown that every dynamical contour can serve as the dynamical limit of a Lyapunov stable motion of an autonomous system. If the contour consists entirely of stationary points, the contour can be the limit of an asymptotically stable motion.
Keywords: autonomous systems, $\omega$-limit points, Lyapunov stability, asymptotic stability, dynamical contours, synchronous serpentine.
Received August 17, 2010, published August 23, 2010
Document Type: Article
UDC: 517.93
MSC: 34C, 34D
Language: Russian
Citation: E. P. Volokitin, V. V. Ivanov, V. M. Cheresiz, “Dynamical contours and limits of stable autonomous motions”, Sib. Èlektron. Mat. Izv., 7 (2010), 162–165
Citation in format AMSBIB
\Bibitem{VolIvaChe10}
\by E.~P.~Volokitin, V.~V.~Ivanov, V.~M.~Cheresiz
\paper Dynamical contours and limits of stable autonomous motions
\jour Sib. \`Elektron. Mat. Izv.
\yr 2010
\vol 7
\pages 162--165
\mathnet{http://mi.mathnet.ru/semr240}
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