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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 entropy K2 of the approximation of Kolmogorov's entropy, the fractional dimension D = 7.7-7.9 and the positive value K2 - 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 of K2 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 i on the estimate of D and K2 are investigated. The results show that D and K2 are convergent with respect to i. The day to day averaged pressure series used in this paper are treated for the extensive phase space with T = 5, the coordinate components are independent of each other; therefore, the dynamical character quantities of the system are stable and reliable. 相似文献
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从Saltzman海气随机气候模式出发,得到了海温脉动θ'的Langevin方程以及对应的Fokker-plank方程。在给定参数条件下求数值解,得到的概率密度曲线p(x,t)具有多个极大值,并在p(x,t)-p(x,t+τ)相空间中呈现Cantor集合图象,表明该随机系统在上述参数条件下出现了混沌行为。 相似文献
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Starting from the Saltzman's air-sea stochastic climatic model, we have derived a langevin-type equation describing SST fluctuation and the related pokker-Plank expression, which were then numerically solved with parameters given, yielding the probability density curve P(x, t) of multiple bifurcations, with the Cantor set of images given in phase space of P(x, t) and P(x, t+τ), thereby indicating that chaotic output comes from the random system under the conditions of the above parameters. 相似文献
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