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Nonlinear dynamics and multifractal analysis of minimum–maximum temperature and solar radiation over Lagos State, Nigeria

Akinsusi Joshua, Ogunjo Samuel, Fuwape Ibiyinka

Acta Geophysica

2022

Vol. 70, no 5

2171--2178

This study focuses on investigating the chaotic and multifractal behavior of atmospheric time series of solar radiation (solar), maximum temperature (Tmax), and minimum temperature (Tmin) over Lagos State for a period of 24 years. Chaotic quantifiers such as sample entropy, Lyapunov exponent, and correlation dimension were employed to unveil the chaotic nature of the time series. Values of Lyapunov exponents obtained for the three parameters were in the range 0.251–0.261, which confirms chaos in the time series. The scaling properties of the time series were revealed by applying the Multifractal Detrended Fluctuation Analysis (MFDFA). Based on the multifractal strength, we infer that the dynamics of solar radiation (0.932) is different from that of maximum temperature (0.155) and minimum temperature (0.198). The time series have a long-range correlation and broad probability distribution. Results obtained showed that the time series is chaotic and exhibited a multifractal behavior. The results also show that chaotic and multifractal analyses are useful in unveiling the complex dynamics of the atmosphere.