Geodesic
Pseudo-prolongations in the qualitative theory of dynamical systems
Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2022), pp. 45-53

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This paper considers the qualitative behaviour of the flow in a neighbourhood of closed invariant sets of dynamical systems. The properties of compactness, invariance, and connectivity of pseudo-prolongations are investigated. A rather deep analysis of the flow in the vicinity of a compact invariant set of asymptotically compact phase spaces is presented. The connection of pseudo-prolongation with the first positive prolongation of T. Ura and the set of weakly elliptic points is refined.
Keywords: dynamical system; closed set; attraction; prolongation. 
@article{BGUMI_2022_3_a3,
     author = {B. S. Kalitin},
     title = {Pseudo-prolongations in the qualitative theory of dynamical systems},
     journal = {Journal of the Belarusian State University. Mathematics and Informatics},
     pages = {45--53},
     publisher = {mathdoc},
     volume = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/BGUMI_2022_3_a3/}
}
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B. S. Kalitin. Pseudo-prolongations in the qualitative theory of dynamical systems. Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2022), pp. 45-53. http://geodesic.mathdoc.fr/item/BGUMI_2022_3_a3/