This article is cited in 5 papers

Classification of compact invariant sets of dynamical systems

A. F. Filippov


Abstract: 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.

UDC: 517.938

MSC: Primary 54H20, 34C35, 34D05; Secondary 93D20, 58F08

Received: 14.04.1993

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1994, 43:3, 517–526

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