Geodesic
On a Problem of V.~V.~Nemytskii
Matematičeskie zametki, Tome 113 (2023) no. 2, pp. 182-196

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We study trajectories in a neighborhood of attractors and weak attractors of dynamical systems on a metric space. The properties of elliptic and weakly elliptic points of compact invariant sets are studied. A solution of the generalized problem of V. V. Nemytskii concerning the existence of compact invariant sets of weakly elliptic type for the case of asymptotically compact dynamical systems is given.
Keywords: dynamical system, attraction
Mots-clés : invariant set, elliptic point. 
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     author = {B. S. Kalitin},
     title = {On a {Problem} of {V.~V.~Nemytskii}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
     volume = {113},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2023_113_2_a2/}
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B. S. Kalitin. On a Problem of V.~V.~Nemytskii. Matematičeskie zametki, Tome 113 (2023) no. 2, pp. 182-196. http://geodesic.mathdoc.fr/item/MZM_2023_113_2_a2/