A note on ergodicity of systems with the asymptotic average shadowing property (Q764545)
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scientific article; zbMATH DE number 6014502
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on ergodicity of systems with the asymptotic average shadowing property |
scientific article; zbMATH DE number 6014502 |
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A note on ergodicity of systems with the asymptotic average shadowing property (English)
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13 March 2012
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This note proves that if a Lyapunov stable map of a compact metric space into itself is topologically transitive and has the asymptotic average shadowing (AASP) property, then the space must be a single point. This property follows in an elementary way from what is already known about AASP. In fact, it is true even without the assumptions of compactness and transitivity.
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asymptotic average shadowing property
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Lyapunov stability
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topological transitivity
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