Filippov, A. F. Classification of compact invariant sets of dynamical systems. (English. Russian original) Zbl 0853.54037 Russ. Acad. Sci., Izv., Math. 43, No. 3, 517-526 (1994); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 57, No. 6, 130-140 (1993). Summary: 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. Cited in 1 Document MSC: 54H20 Topological dynamics (MSC2010) 34D05 Asymptotic properties of solutions to ordinary differential equations 93D20 Asymptotic stability in control theory 37B99 Topological dynamics Keywords:compact invariant sets; dynamical system; stability; attraction; isolation PDFBibTeX XMLCite \textit{A. F. Filippov}, Russ. Acad. Sci., Izv., Math. 43, No. 3, 1 (1993; Zbl 0853.54037); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 57, No. 6, 130--140 (1993) Full Text: DOI