Compactness and asymptotic stability


By long-established tradition, asymptotically stable sets are compact, or have compact closure of complement (i.e., are either very small or very large). Of course, there are numerous counter-examples to this: e.g., the x-axis for x ' = 0, y ' = y . In this note we undertake to examine what compactness properties are actually implied by asymptotic stability… (More)
DOI: 10.1007/BF01691099


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