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- W2368967359 abstract "The correlation dimension is an important invariant for chaotic system,and G-P algorithm is the main way to calculate the correlation dimension.There are many different results caused by the subjectivity in the choosing of parameters,and different parameter choice will get different results.In this paper,based on the Lorenz equation which has analytical result,it is pointed out that the choosing of parameters need circumspection in the calculating of the correlation dimension by Grassberger-Procaccia(G-P)algorithm.For Lorenz system time series,the calculating results show that the influence on the correlation dimension for different norms choice is small,that the best sampling number is the number that can gets the steady fractal characteristic,that the embedding dimension of the phase space is not appointed at random nor the bigger the better,and that the maximal embedding dimension of the phase space is 10 for Lorenz system." @default.
- W2368967359 created "2016-06-24" @default.
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- W2368967359 date "2014-01-01" @default.
- W2368967359 modified "2023-09-28" @default.
- W2368967359 title "G-P algorithm for evaluating the correlation dimension in chaos" @default.
- W2368967359 hasPublicationYear "2014" @default.
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