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The reliable computation time (RCT, marked as Tc) when applying a doubleprecision computation of a variable parameters logistic map (VPLM) is studied.First, using the method proposed, the reliable solutions for the logistic mapare obtained. Second, for a time-dependent non-stationary parameters VPLM,10000 samples of reliable experiments are constructed, and the mean Tc is thencomputed. The results indicate that for each different initial value, the Tcsof the VPLM are generally different. However, the mean Tc trends to a constantvalue once the sample number is large enough. The maximum, minimum and probabledistribution function of Tc is also obtained, which can help us to identify therobustness of applying a nonlinear time series theory to forecasting whileusing the VPLM output. In addition, the Tc of the fixed parameter experimentsof the logistic map was obtained, and the results suggested that this Tcmatches the theoretical formula predicted value.

The reliable solution and computation time of variable parameters Logistic model