Geodesic
Classification of compact invariant sets of dynamical systems
Izvestiya. Mathematics, Tome 43 (1994) no. 3, pp. 517-526 Cet article a éte moissonné depuis la source Math-Net.Ru

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A classification of the compact invariant sets of a dynamical system in a locally compact complete metric space is given with respect to the properties of stability, attraction, isolation, and others. 
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A. F. Filippov. Classification of compact invariant sets of dynamical systems. Izvestiya. Mathematics, Tome 43 (1994) no. 3, pp. 517-526. http://geodesic.mathdoc.fr/item/IM2_1994_43_3_a6/

[1] Saito T., “Isolated minimal sets”, Funkc. Ekvac., 11:3 (1969), 155–167 | MR | Zbl

[2] Bhatia N. P., “Attraction and non-saddle sets in dynamical systems”, J. of Dif. Equat., 8:2 (1970), 229–249 | DOI | MR | Zbl

[3] Bhatia N. P., Szegő G. P., Stability theory of dynamical systems, Springer, Berlin, 1970 | MR | Zbl

[4] Kalitin B. S., “Klassifikatsiya kompaktnykh invariantnykh mnozhestv”, DAN BSSR, 31:1 (1987), 971–974 | MR | Zbl

[5] Kalitin B. S., “Psevdoustoichivost zamknutykh invariantnykh mnozhestv”, Differents. uravneniya, 22:2 (1986), 187–193 | MR | Zbl

[6] Nemytskii V. V., Stepanov V. V., Kachestvennaya teoriya differentsialnykh uravnenii, Gostekhizdat, M., L., 1949

[7] Filippov A. F., “Differentsialnye uravneniya s razryvnoi pravoi chastyu”, Matem. sb., 51:1 (1960), 99–128 | Zbl