摘要
采用功率谱、关联维数、最大Lyapunov指数和主分量分析法研究了马尾松蛀干类害虫成虫林间种群数量序列的混沌特性。结果表明:马尾松蛀干类害虫林间种群数量序列具有混沌特性;在重构的多维相空间中存在的混沌吸引子,具有分维结构;当延迟时间τ=3、饱和嵌入维数m=17时,对应的相空间中关联维数D=3.1917,最大Lyapunov指数σ=0.3089。可见,马尾松蛀干类害虫成虫林间种群数量一维时间序列具有混沌特性,可以用重构相空间方法对其进行预测。
An experiment was conducted to study the chaotic characteristics of population size of adult boring insects in Pinus massoniana forests based on chaos theory using power spectrum analysis,correlation dimension,the largest Lyapunov exponent and the principal component method.Results show that the sequence of adult population of boring insects in P.massoniana forests has chaotic characteristics,belonging to chaotic time series.Attractors exist in the reconstructed multidimensional phase space,and also exhibit fractal dimension characteristics.If the delay time τ is 3,the embedding dimension m is 17,then the correlation dimension D is 3.191 7 in related phase dimension and the largest Lyapunov exponent σ is 0.308 9.Therefore,the population size of adult boring insects in P.massoniana forests could be forecasted by reconstructed phase space method according to the chaotic characteristics of one-dimensional time series.
出处
《东北林业大学学报》
CAS
CSCD
北大核心
2010年第11期101-104,共4页
Journal of Northeast Forestry University
基金
浙江省仙居县科技局项目(200628)
关键词
马尾松
蛀干类害虫
混沌识别
嵌入维数
关联维数
最大LYAPUNOV指数
Pinus massoniana
Boring insects
Chaos identification
Embedding dimension
Correlation dimension
Largest Lyapunov exponent
