On the concept of attractor: correction and remarks (Q1081927)
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scientific article; zbMATH DE number 3971824
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the concept of attractor: correction and remarks |
scientific article; zbMATH DE number 3971824 |
Statements
On the concept of attractor: correction and remarks (English)
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1985
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The author makes a correction and adds several remarks to his paper mentioned in the title [ibid. 99, 177-195 (1985; Zbl 0595.58028)]. He shows that ''stability'' of the attractor implies ''asymptotic stability'', where by stability we mean that for any sufficiently small neighborhood U of the attractor A, the intersection of the forward images \(f^ n(A)\) is precisely A.
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attractor
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asymptotic behavior of orbits
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Lyapunov stability
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asymptotic stability
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axiom A attractors
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