摘要
根据观测的O3总量场序列资料反演区域系统的非线性演化方程，采用自然正交分解方法，由空间函数构造相空间正交基，将时间函数（主成分）嵌入对应于系统状态变量，计算得到O3层系统的分数维D2＝2．9，说明它属于低自由度的混饨动力学系统．主成分的时间尺度层次特征，反映了O3层的各种动力行为，它们是动力学系统再现的集合，用于反演动力学方程可描述不同层次扰动的约束及相互作用的性质，刻画出系统的演化形态．为研究系统成分的内在关系，在三维和四维相空间中分别建立动力学方程。通过对比分析，两者描述O3层动力行为的差异表现在较低层次的系统成分中，表明在系统成分相互作用过程中高层次对低层次信息的不完全确定性。
On the basis of the observational field time series of the total ozone and the separated method of empirical orthogonal function (EOF) to open up phase space in anomalous field of ozonosphere, it can get a group of rectangular radix of phase space made up of space function. Then time function (principal component)is inlaid,so corresponding to the state variable of system's developing, the inversion for dynamic system of ozonosphere on the zonal average area is presented. The fractional dimension of the system is calculated, the result is D2=2.9. So this system is a chaotic dynamic system with low-hierarchy of freedom. The principal components are the reappearance collection of dynamic system. Therefore the rule which they obey to as time changes can be used instead of the research in that of area system. In order to study the interaction among the systematic components, the corresponding dynamic equations are established in the phase space of three and four dimensions. From comparison and analysis of results show that the difference between the both dynamic equations only is demonstrated in lower principal systematic components.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
1998年第3期299-307,共9页
Chinese Journal of Geophysics
基金
国家自然科学基金!49705060
关键词
臭氧层
相空间
动力学系统
纬向平均区域
Ozonosphere, Principal component Phase space, Dynamic system.
