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The difficulty of prediction of the time series of relativistic electrons flux in the outer radiation belt of the Earth is caused by the complexity and nonlinearity of the magnetosphere of the Earth as a dynamic system, and by the properties of data obtained from space experiments. This study considers different approaches to neural network prediction of the values of relativistic electrons flux in the outer radiation belt of the Earth by the parameters of solar wind measured at the Earth’s orbit and by the values of geomagnetic indices. Comparison of quality indices of predictions with horizon from one to twelve hours among each other and with predictions of trivial models is performed.