标题： 噪声对排列熵影响的数值和实验研究 显示英文标题

标题： Numerical and experimental study of the effects of noise on the permutation entropy

摘要： 我们分析了噪声对动力系统排列熵的影响。 我们将逻辑斯蒂映射和罗塞尔系统作为数值例子。 在改变噪声强度时，我们发现从几乎确定性区域到噪声主导区域的转变，在几乎确定性区域中，排列熵随着模式维度的增加而比线性增长更慢，在噪声主导区域中，排列熵随着模式维度的增加而比线性增长更快。 我们通过考虑带有光学反馈的半导体激光器的随机尖峰输出，对实验时间序列进行了相同的分析。 由于实验条件，动力学被发现始终处于噪声主导区域。 然而，该分析能够检测到潜在动力学的规律性。 通过比较这三个不同例子的结果，我们讨论了从时间序列中判断潜在动力学是否受噪声主导的可能性。 显示英文摘要

摘要： We analyze the effects of noise on the permutation entropy of dynamical systems. We take as numerical examples the logistic map and the R\"ossler system. Upon varying the noise strengthfaster, we find a transition from an almost-deterministic regime, where the permutation entropy grows slower than linearly with the pattern dimension, to a noise-dominated regime, where the permutation entropy grows faster than linearly with the pattern dimension. We perform the same analysis on experimental time-series by considering the stochastic spiking output of a semiconductor laser with optical feedback. Because of the experimental conditions, the dynamics is found to be always in the noise-dominated regime. Nevertheless, the analysis allows to detect regularities of the underlying dynamics. By comparing the results of these three different examples, we discuss the possibility of determining from a time series whether the underlying dynamics is dominated by noise or not.