When Chaos Meets Computers
<|reference_start|>When Chaos Meets Computers: This paper focuses on an interesting phenomenon when chaos meets computers. It is found that digital computers are absolutely incapable of showing true long-time dynamics of some chaotic systems, including the tent map, the Bernoulli shift map and their analogues, even in a high-precision floating-point arithmetic. Although the results cannot directly generalized to most chaotic systems, the risk of using digital computers to numerically study continuous dynamical systems is shown clearly. As a result, we reach the old saying that "it is impossible to do everything with computers only".<|reference_end|>
@article{li2004when,
    title={When Chaos Meets Computers},
    author={Shujun Li},
    journal={arXiv preprint arXiv:nlin/0405038},
    year={2004},
    archivePrefix={arXiv},
    eprint={nlin/0405038},
    primaryClass={nlin.CD cs.NA}
}