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arXiv · 2603.16174

Effect of machine arithmetic errors for multi-turn invariant curve destruction

David Nikitin·Nataliya Stankevich
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Abstract

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.

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David Nikitin, Nataliya Stankevich. 2026-03-17. Effect of machine arithmetic errors for multi-turn invariant curve destruction. https://arxiv.org/abs/2603.16174

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