【摘要】 根据混沌理论,分别采用功率谱分析法、关联维数和嵌入维数、最大Lyapunov指数和主分量分析法识别短角幽天牛成虫林间种群数量序列的混沌特性,将短角幽天牛成虫林间种群数量的一维时间序列拓展到多维相空间中去,得出主要的混沌特性指标。研究表明:不同的混沌判定方法结果均显示短角幽天牛林间种群数量序列具有混沌特征,属于混沌时间序列;在拓展的多维相空间中存在吸引子,并具有分维结构,当延迟时间τ=2、嵌入维数m=12时,对应的相空间中关联维数D=3.260 9,最大Lyapunov指数λ1=0.288 6。因此,短角幽天牛成虫林间种群数量一维时间序列存在混沌特性,可以用重构相空间方法对其进行预测。更多还原

【Abstract】 Based on chaos theories,the chaotic characteristics of Spondylis buprestoides adult population in forest were identified by power spectrum analysis,correlation dimension,embedding dimension,largest Lyapunov exponent and principal component method,the one dimensional time series of S.buprestoides adult population was extended to multi-dimensional phase space,to obtain the main chaotic characteristics indicators.The results showed that the adult population sequence of S.buprestoides had chaotic characteristics,which was judged by various chaotic determination methods.Attractors were existed in extended multi-dimension phase space,and also there were of fractal dimension characteristics.When the delay time τ=2,the embedding dimension m=12,the correlation dimension D=3.260 9 in related phase dimension and the largest Lyapunov exponent λ1=0.288 6.Therefore the adult population of S.buprestoides could be forecasted by reconstructed phase space method based on one dimension time series’ chaotic characteristics.更多还原