Geodesic
Dynamical contours and limits of stable autonomous motions
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 162-165.

Voir la notice de l'article provenant de la source Math-Net.Ru

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
Mots-clés : dynamical contours, synchronous serpentine. 
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     title = {Dynamical contours and limits of stable autonomous motions},
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E. P. Volokitin; V. V. Ivanov; V. M. Cheresiz. Dynamical contours and limits of stable autonomous motions. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 162-165. http://geodesic.mathdoc.fr/item/SEMR_2010_7_a35/

[1] O. V. Druzhinina, Metody analiza ustoichivosti i dinamicheskoi prochnosti traektorii nelineinykh differentsialnykh sistem, VTs RAN, Moskva, 2008, 200 pp. | MR