In this study, we examine the magnetospheric chaos and dynamical complexity response to the disturbance storm time (D_st) and solar wind electric field (VB_s) during different categories of geomagnetic storm (minor, moderate and major geomagnetic storm). The time series data of the D_st and VB_s are analysed for a period of 9 years using non-linear dynamics tools (maximal Lyapunov exponent, MLE; approximate entropy, ApEn; and delay vector variance, DVV). We found a significant trend between each non-linear parameter and the categories of geomagnetic storm. The MLE and ApEn values of the D_st indicate that chaotic and dynamical complexity responses are high during minor geomagnetic storms, reduce at moderate geomagnetic storms and decline further during major geomagnetic storms. However, the MLE and ApEn values obtained from VB_s indicate that chaotic and dynamical complexity responses are high with no significant difference between the periods that are associated with minor, moderate and major geomagnetic storms. The test for non-linearity in the D_st time series during major geomagnetic storm reveals the strongest non-linearity features. Based on these findings, the dynamical features obtained in the VB_s as input and D_st as output of the magnetospheric system suggest that the magnetospheric dynamics are non-linear, and the solar wind dynamics are consistently stochastic in nature.

中文翻译：

---

风暴时间扰动期间的磁层混沌和动力复杂性响应

在这项研究中，我们研究了在不同类别的地磁风暴（次要，中度和主要地磁风暴）期间，磁层混沌和动力复杂度对扰动风暴时间（D _st）和太阳风电场（VB _s）的响应。所述的时间序列数据d _ST 和VB_小号分析一段使用非线性动力学工具9年（最大Lyapunov指数，MLE;近似熵，近似熵;和延迟矢量方差，DVV）。我们发现每个非线性参数与地磁风暴类别之间存在明显趋势。D _st的MLE和ApEn值指出，在较小的地磁暴期间，混沌和动力复杂性响应较高，在中等地磁暴时减小，而在主要地磁暴期间则进一步下降。然而，MLE和近似熵值在获得VB_小号表明，混乱和动态的复杂反应是高配是与未成年人相关的周期之间没有显著差异，中度和重大地磁暴。该测试在非线性d _ST大磁暴期间的时间序列揭示了最强的非线性特性。基于这些发现，在所获得的动力学特征 VB _š作为输入和d _ST 作为磁层系统的输出，表明磁层动力学是非线性的，并且太阳风动力学在本质上始终是随机的。