Orbital shadowing and stability for vector fields (Q1989439)
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scientific article; zbMATH DE number 7191479
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orbital shadowing and stability for vector fields |
scientific article; zbMATH DE number 7191479 |
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Orbital shadowing and stability for vector fields (English)
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22 April 2020
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The following Theorem is the main result of this paper. Theorem. Let \(M\) be a compact manifold without boundary. Then every \(C^1\) vector field on \(M\) having the \(C^1\) robustly orbital shadowing property is \(\Omega\)-stable.
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vector field
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orbital shadowing
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\( \Omega \)-stability
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structural stability
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