两个太阳活动周指数的回归量化分析
Recurrence Quantification Analysis of Two Solar Cycle Indices
摘要：
太阳活动影响着整个日光层和近地空间环境。据文献报道，负责太阳活动调制的机制表现为一个低维混沌系统。研究这类物理系统，特别是它们的时间演化，需要非线性分析方法。在这方面，在这项工作中，我们应用递归量化分析（RQA）的研究中最常用的两个太阳周期指标，即一系列的太阳黑子数（SSN），和无线电通量10.7厘米，其目的是确定可能的动态转换系统。这是一项特别适合RQA的任务。分析结果表明，两个RQA措施，即决定论和层状大波动的存在。此外，SSN的RQA测量和射电通量的演变之间也存在很大的差异。这表明太阳活动背后的动力学存在转变。此外，它还显示和量化这两个太阳指数的不同性质。此外，为了检查我们的结果是否受到数据伪影的影响，我们还将RQA应用于最近重新校准的SSN系列和前一个系列，揭示了两个数据集之间的主要差异。结果进行了讨论，根据最近的文献对这个问题。
英文摘要：
Solar activity affects the whole heliosphere and near-Earth space environment. It has been reported in the literature that the mechanism responsible for the solar activity modulation behaves like a low-dimensional chaotic system. Studying these kind of physical systems and, in particular, their temporal evolution requires non-linear analysis methods. To this regard, in this work we apply the recurrence quantification analysis (RQA) to the study of two of the most commonly used solar cycle indicators; i.e. the series of the sunspots number (SSN), and the radio flux 10.7 cm, with the aim of identifying possible dynamical transitions in the system. A task which is particularly suited to the RQA. The outcome of this analysis reveals the presence of large fluctuations of two RQA measures; namely the determinism and the laminarity. In addition, large differences are also seen between the evolution of the RQA measures of the SSN and the radio flux. That suggests the presence of transitions in the dynamics underlying the solar activity. Besides it also shows and quantifies the different nature of these two solar indices. Furthermore, in order to check whether our results are affected by data artifacts, we have also applied the RQA to both the recently recalibrated SSN series and the previous one, unveiling the main differences between the two data sets. The results are discussed in light of the recent literature on the subject.
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