A shadowing theorem for ordinary differential equations (Q1805095)
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scientific article; zbMATH DE number 753650
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A shadowing theorem for ordinary differential equations |
scientific article; zbMATH DE number 753650 |
Statements
A shadowing theorem for ordinary differential equations (English)
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11 May 1995
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A new notion of shadowing of a pseudo orbit, an approximate solution, of an autonomous system of ordinary differential equations by an associated nearby true orbit is introduced. Then a general theorem which guarantees the existence of shadowing of pseudo orbits in compact hyperbolic sets is proved.
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shadowing property
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hyperbolic invariant set
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pseudo orbit
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