Predictability of Iteration Method for Chaotic Time Series

The approximation expression about error accumulation of a long-term prediction is derived By analyzing this formula, we find that the factors that can affect the long-term predictability include the model parameters. prediction errors and the derivates of the used basis functions To enlarge the maxi MUM attempting time, we present that more suitable basis functions should be those with smaller derivative functions and a fast attenuation where out of the time series range We compare the long-term predictability of a non-polynomial based algorithm and a polynomial one to prove the success of our method