The reliable solution and computation time of variable parameters logistic model

The reliable solution and computation time of variable parameters logistic model
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变参数Logistic模型的可靠解和计算时间

DOI:
10.1007/s00704-017-2136-3
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发表时间:
2018-11
影响因子:
3.4
通讯作者:
Pan Xinnong
Pan Xinnong
中科院分区:
地球科学3区
文献类型:
--
作者:
Wang Pengfei;Pan Xinnong

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The study investigates the reliable computation time (RCT, termed asTc) by applying a double-precision computation of a variable parameters logistic map (VPLM). Firstly, by using the proposed method, we obtain the reliable solutions for the logistic map. Secondly, we construct 10,000 samples of reliable experiments from a time-dependent non-stationary parameters VPLM and then calculate the meanTc. The results indicate that, for each different initial value, theTcs of the VPLM are generally different. However, the meanTctrends to a constant value when the sample number is large enough. The maximum, minimum, and probable distribution functions ofTcare also obtained, which can help us to identify the robustness of applying a nonlinear time series theory to forecasting by using the VPLM output. In addition, theTcof the fixed parameter experiments of the logistic map is obtained, and the results suggest that thisTcmatches the theoretical formula-predicted value.
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