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arXiv · 1912.04241

Numerical Coalescence of Chaotic Trajectories

Bruce N. Roth·Michael Wilkinson
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Abstract

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.

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Bruce N. Roth, Michael Wilkinson. 2019-12-09. Numerical Coalescence of Chaotic Trajectories. https://doi.org/10.1088/1751-8121%2Fab9bcf

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