Numerical Coalescence of Chaotic Trajectories
arXiv:1912.04241 · doi:10.1088/1751-8121/ab9bcf
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.
12 pages, 2 figures