Homoclinic connections and numerical integration (Q1370362)
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scientific article; zbMATH DE number 1078378
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homoclinic connections and numerical integration |
scientific article; zbMATH DE number 1078378 |
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Homoclinic connections and numerical integration (English)
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26 October 1997
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It is known that the numerical integration of ordinary differential equations \(y'= f(y)\), \(f:\mathbb{R}^n\to \mathbb{R}^n\), \(f(0)=0\), on long time intervals becomes unstable and carries on ``numerical chaos''. The author shows that Euler's finite difference scheme does not preserve homoclinic connections.
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numerical chaos
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Euler's finite difference scheme
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homoclinic connections
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