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High-stability algorithm for the three-pattern decomposition of global atmospheric circulation
Authors:Jianbo?Cheng  Chenbin?Gao  Email author" target="_blank">Shujuan?HuEmail author  Guolin?Feng
Institution:1.Center for Monsoon System Research, Institute of Atmospheric Physics (CMSR),Chinese Academy of Sciences,Beijing,China;2.State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics (LASG), Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing,China;3.CMSR&LASG/IAP/CAS,Beijing,China;4.University of Chinese Academy of Sciences,Beijing,China;5.Key Laboratory for Atmosphere and Global Environment Observation (LAGEO), Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing,China
Abstract:The study investigates the reliable computation time (RCT, termed as T c) 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 mean T c. The results indicate that, for each different initial value, the T cs of the VPLM are generally different. However, the mean T c trends to a constant value when the sample number is large enough. The maximum, minimum, and probable distribution functions of T c are 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, the T c of the fixed parameter experiments of the logistic map is obtained, and the results suggest that this T c matches the theoretical formula-predicted value.
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