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首页> 外文期刊>Journal of Geophysical Research, A. Space Physics: JGR >Linear scaling and periodicity on the measures of global and local scale complexities of total electron content dynamics
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Linear scaling and periodicity on the measures of global and local scale complexities of total electron content dynamics

机译：线性标度和周期性，用于测量总电子含量动力学的全局和局部尺度复杂性

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摘要

In this paper, we compare the local and global dynamics of total electron content (TEC) by analyzing Lyapunov exponents and correlation dimensions. The internal structure of the underlying system is studied using TEC data from the solar minimum years 2007-2008. The mutual information, false nearest neighbors, and space-time separation of both local and global snapshots are estimated and analyzed. It indicates that although the internal dynamics changes with season, the pattern of variation over the seasons remains identical for both the years, suggesting that the characteristics of these changes might be predictable. We report the evidence of a linear scaling with slope 0.00187 and a periodicity with period of 1 year on measures of global and local scale complexities of TEC dynamics. This behavior appears to be a universal phenomenon unaffected by change of cycles and amount of information influencing the complexity, since they are almost constant over the 2 years. The global Lyapunov exponent increases linearly over a year, whereas the local Lyapunov exponent increases up to the middle of the year, attains greatest local complexity, and then decreases. This suggests that local prediction is more reliable than the global one. The estimated invariants characterize the complex dynamics as it evolve from local time to global time and also provide information to the system's heterogeneity. The features such as presence of multiple attractors, linear scaling, and nearly regular seasonal periodicity may have practical consequences and could yield insights into the internal dynamics of TEC and the modeling of its variations. Key PointsEvidence of a novel scaling and periodicity of global and local complexitiesLyapunov exponent characterises complexity evolving from local to global in timePhenomenon are unaffected by change of cycles, amount of information
机译：在本文中，我们通过分析Lyapunov指数和相关维数，比较了总电子含量（TEC）的局部和全局动力学。使用2007-2008年太阳最低年的TEC数据研究了基础系统的内部结构。估计和分析了相互信息，最近的虚假最近邻居以及本地快照和全局快照的时空分隔。它表明，尽管内部动力随季节而变化，但在这两个年份中，季节变化的模式仍然相同，这表明这些变化的特征可能是可预测的。我们报告了TEC动力学的全球和局部尺度复杂性的度量，其斜率为0.00187且周期为1年的线性标度的证据。这种行为似乎是一种普遍现象，不受周期变化和影响复杂性的信息量的影响，因为在过去两年中它们几乎是恒定的。全局Lyapunov指数在一年中呈线性增加，而局部Lyapunov指数直到年中增加，达到最大局部复杂度，然后下降。这表明本地预测比全局预测更可靠。估计的不变性描述了复杂动力学从本地时间演变为全球时间的特征，并且还为系统的异构性提供了信息。诸如多个吸引子的存在，线性比例变化以及几乎规则的季节性周期之类的特征可能会产生实际后果，并且可能使您对TEC的内部动态及其变化建模产生深刻的见解。要点全球和局部复杂性的新颖缩放和周期性的证据李雅普诺夫指数表征复杂性随时间从局部演变为全局现象不受周期，信息量变化的影响

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