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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.

MSC:

54H20 Topological dynamics (MSC2010)
34D05 Asymptotic properties of solutions to ordinary differential equations
93D20 Asymptotic stability in control theory
37B99 Topological dynamics
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