A subdivision algorithm for the computation of unstable manifolds and global attractors (Q1358130)
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scientific article; zbMATH DE number 1027736
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A subdivision algorithm for the computation of unstable manifolds and global attractors |
scientific article; zbMATH DE number 1027736 |
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A subdivision algorithm for the computation of unstable manifolds and global attractors (English)
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30 June 1997
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This is a very clear exposition of an algorithm for approximating global attractors. Essentially, the algorithm involves bisecting compact sets and at each stage, removing subsets whose preimage does not intersect with itself or any of the other sets obtained. A rigorous analysis is given and simple examples are provided to illustrate the theory. Two substantial numerical examples, the Henon map and Chua's circuit are considered in detail.
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subdivision algorithm
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unstable manifolds
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global attractors
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numerical examples
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Henon map
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Chua's circuit
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0.8809622
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0.8809128
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0.87900716
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0.87620735
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