The Long-term structural effect of Coronal index solar activity on the ENSO and QBO Time series data using Fractal Dimension

摘要

The study concentrated on the fractal dimension of solar activity and climatic parameters. We analyzed comparatively for each parameter numerically. All values are estimated by Box Counting technique of fractal dimension. According to the theme of study, we useda monthly dataset of Coronal Mass Ejection (Coronal Index (CI)), ElNino Southern Oscillation (ENSO) and Quasi-Biennial Oscillation (QBO)from 1954 to 2016. The time seriesof ENSO and QBO are distributed according to the CORONAL INDEX (CI) cycles (19, 20, 21, 22, 23, and24) to understand their relationship in the perspective of persistence oranti-persistence.The fractal dimension(D) represents the complexity andHurst exponent(H) indicates the long memory dependence of the selectedtime series, with scaling constant (a, c). The results obtained indicatethe persistence (1 D 1.5) for CORONAL INDEX (CI) with distributed ENSO and QBO cycles. The fractional Brownian motion (fBm)is also found long memory dependence (1 H 0.5) and locally lowpass signal for all studied cycles observed.A linear relationship impliesbetween Hurst coefficient and fractal dimension for a statistical assumption (H + D = 2).The fractal scaling instrument is established betweenthe global indices (ENSO QBO) and solar activity (particularly CORONAL INDEX (CI)) cycles,the inverse correlation with ENSO and directwith QBO are observed. The results obtained in this research work mayhelp to describe the solar-terrestrial relationship.