The PIM-simplex method: an extension of the PIM-triple method to saddles with an arbitrary number of expanding directions (Q1808252)
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scientific article; zbMATH DE number 1374321
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The PIM-simplex method: an extension of the PIM-triple method to saddles with an arbitrary number of expanding directions |
scientific article; zbMATH DE number 1374321 |
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The PIM-simplex method: an extension of the PIM-triple method to saddles with an arbitrary number of expanding directions (English)
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6 December 1999
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The authors deal with the PIM-simplex method, which is a natural generalization of the PIM-triple method. Note that the PIM-triple method is a very good tool to obtain trajectories on saddles with one positive Lyapunov exponent. This paper is devoted to the cases when the PIM-triple method fails in saddles with several expanding directions and develop the modifications for new cases. Applications of the obtained results are discussed.
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PIM-simplex method
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PIM-triple method
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saddles
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Lyapunov exponent
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