Dimension estimate of the global attractor for forced oscillation systems (Q1328982)
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scientific article; zbMATH DE number 597554
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dimension estimate of the global attractor for forced oscillation systems |
scientific article; zbMATH DE number 597554 |
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Dimension estimate of the global attractor for forced oscillation systems (English)
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18 August 1994
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The paper is concerned with a system of ordinary differential equations derived from forced oscillation systems by an average Lagrangian method. As in the case of the Lorenz system the largest compact invariant set \(X\) for the system may contain a strange attractor. Applying the Kaplan-Yorke formula the authors give an upper bound for \(\dim X\) and compare it with numerical results.
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dimension
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forced oscillation
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average Lagrangian method
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strange attractor
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Kaplan-Yorke formula
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0.91774786
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0.90555274
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0.90551233
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0.9046455
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0.90388423
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0.9036583
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0.90353906
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0.9014386
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