Pairs of numerically computed trajectories of a chaotic system may coalesce because of finite arithmetic precision. We analyse an example of this phenomenon, showing that it occurs surprisingly frequently. We argue that our model belongs to a universality class of chaotic systems where this numerical coincidence effect can be described by mapping it to a first-passage process. Our results are applicable to aggregation of small particles in random flows, as well as to numerical investigation of chaotic systems.

中文翻译：

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混沌轨迹的数值合并

由于有限的算术精度，一对混沌系统的数值计算轨迹可能会合并。我们分析了这种现象的一个例子，表明该现象频繁发生。我们认为，我们的模型属于混沌系统的普遍性类别，在该类别中，可以通过将其映射到首次通过过程来描述此数字重合效应。我们的结果适用于小颗粒在随机流动中的聚集，也适用于混沌系统的数值研究。