Determination of kolmogorov entropy of chaotic attractor included in one—dimensional time series of meteorological data |
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| Authors: | Yan Shaojin Peng Yongqing Wang Jianzhong |
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| Affiliation: | Nanjing Institute of Meteorology, Nanjing 210044, China,Nanjing Institute of Meteorology, Nanjing 210044, China,Nanjing Institute of Meteorology, Nanjing 210044, China |
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| Abstract: | The 1970–1985 day to day averaged pressure dataset of Shanghai and the extension method in phase space are used to calculate the correlation dimension D and the second-order Renyi entropyK 2 of the approximation of Kolmogorov’s entropy, the fractional dimensionD = 7.7 ∼ 7.9 and the positive valueK 2 ≈ 0.1 are obtained. This shows that the attractor for the short-term weather evolution in the monsoon region of China exhibits a chaotic motion. The estimate ofK 2 yields a predictable time scale of about ten days. This result is in agreement with that obtained earlier by the dynamic-statistical approach. The effects of the lag time τ on the estimate ofD andK 2 are investigated. The results show thatD andK 2 are convergent with respect to τ. The day to day averaged pressure series used in this paper are treated for the extensive phase space with τ = 5, the coordinate components are independent of each other; therefore, the dynamical character quantities of the system are stable and reliable. |
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