Effect of machine arithmetic errors for multi-turn invariant curve destruction
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914401865433088 |
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| author | Nikitin, David Stankevich, Nataliya |
| author_facet | Nikitin, David Stankevich, Nataliya |
| contents | Using the example of three-dimensional Mira map, it is shown that the destruction of a multi-turn invariant curve can occur through the appearance of local multiple bends. It was found that, depending on the precision of machine arithmetic, a complication of the multi-turn invariant curve can be observed, which is a numerical artifact. Artifact can be avoided with increasing of machine arithmetic accuracy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16174 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Effect of machine arithmetic errors for multi-turn invariant curve destruction Nikitin, David Stankevich, Nataliya Chaotic Dynamics Numerical Analysis 65P20, 37M05 Using the example of three-dimensional Mira map, it is shown that the destruction of a multi-turn invariant curve can occur through the appearance of local multiple bends. It was found that, depending on the precision of machine arithmetic, a complication of the multi-turn invariant curve can be observed, which is a numerical artifact. Artifact can be avoided with increasing of machine arithmetic accuracy. |
| title | Effect of machine arithmetic errors for multi-turn invariant curve destruction |
| topic | Chaotic Dynamics Numerical Analysis 65P20, 37M05 |
| url | https://arxiv.org/abs/2603.16174 |