Weak attractors in flows on noncompact spaces (Q2785857)
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scientific article; zbMATH DE number 982951
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak attractors in flows on noncompact spaces |
scientific article; zbMATH DE number 982951 |
Statements
21 April 1997
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flows
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attractors
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Morse index
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weak attractor
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chain recurrence
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noncompact space
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Weak attractors in flows on noncompact spaces (English)
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A study of the qualitative behaviour of dynamical systems involves that of invariant or attracting sets. There are various definitions of attractors and their dynamics is mostly restricted to compact spaces. A new definition of attractor in flows on noncompact spaces, derived from ideas of Conley, Peixoto and Pugh, is used to characterize the strongly chain recurrent sets. Finally, a characterization of a minimal weak attractor is obtained.
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