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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 used
a 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, and
24) to understand their relationship in the perspective of persistence or
anti-persistence.The fractal dimension(D) represents the complexity and
Hurst exponent(H) indicates the long memory dependence of the selected
time series, with scaling constant (a, c). The results obtained indicate
the 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 implies between Hurst coefficient and fractal dimension for a statistical assumption
(H + D = 2).The fractal scaling instrument is established between the
global indices (ENSO & QBO) and solar activity (particularly CORONAL INDEX (CI)) cycles,the inverse correlation with ENSO and direct
with QBO are observed. The results obtained in this research work may
help to describe the solar-terrestrial relationship.
Muhammad Fahim Akhter. (2021) The Long-term structural effect of Coronal index solar activity on the ENSO and QBO Time series data using Fractal Dimension, Punjab University Journal of Mathematics, Volume-53, Issue-2.
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