论文标题
基于物理扰动的研究,对水中混乱模式的自由下落磁盘的预测
A physical perturbation based study on the prediction of free-fall disks with chaotic modes in the water
论文作者
论文摘要
我们报告了一种现象,即物理扰动有时可以使以混乱模式的自由落体运动的确定性受益,尽管通常认为,它们可能会破坏它。我们从统计学上比较了可能导致不确定性的因素,通过这些因素,我们发现着陆位置的标准偏差的增长是由物理扰动直接确定的。同时,定义了一个重要的尺寸。该时间标准与此类问题的复制性具有很大的相关性,尽管它们本质上是混乱的。我们的假设通过其他文献的实验来验证。该结果还提供了一种实用策略,可以通过将物理参数的干扰作为先验的干扰来评估可信预测时间。
We report a phenomenon that physical perturbations sometimes can benefit the certainty of a free-fall motion with chaotic modes, albeit, as commonly believed, they can ruin it. We statistically compare those factors that may lead to uncertainty, by which we find that the growth of the standard deviation of the landing locations is directly determined by the physical perturbations. A significant yardstick is defined in the meantime. This temporal criterion is of big relevance to the replicability of such problems experimentally, although they are inherently chaotic. Our hypothesis is verified by experiments from other literature. This outcome also provides a practical strategy to evaluate the credible prediction time by estimating the disturbances from physical parameters as a priori.