Effect of machine arithmetic errors for multi-turn invariant curve destruction
Chaotic Dynamics
2026-03-18 v1 Numerical Analysis
Numerical Analysis
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.
Cite
@article{arxiv.2603.16174,
title = {Effect of machine arithmetic errors for multi-turn invariant curve destruction},
author = {David Nikitin and Nataliya Stankevich},
journal= {arXiv preprint arXiv:2603.16174},
year = {2026}
}
Comments
7 pages, 4 figures