洛特卡定律的分形性质研究  

Study on the fractal property of Lotka′s law

作　　者：伊振中[1] 

机构地区：[1]山东大学图书馆,山东济南250100

出　　处：《山东大学学报（工学版）》2007年第4期118-121,共4页Journal of Shandong University（Engineering Science）

摘　　要：在简要介绍分形理论的基础上,提出了对洛特卡定律进行分形研究的具体思路,重点分析了洛特卡定律在统计意义上表现出来的分形性质.通过比较分形中分维和洛特卡定律的一般推导,建立了洛特卡定律的分形模型,根据这一模型,对洛特卡定律中幂指数的深刻分形意义进行了深入分析,并通过具体的数据对洛特卡定律的分形性质进行了实证验证.Based on the brief introduction of the fractal theory, a detailed research about studying the Lotka＇s law in a fractal way was put forward. In addition, the fractal property of Lotka＇s law presented on statistics was also studied. By comparing the common deduction of the fmctal dimensions with the Lotka＇s law, the fmctal model of Lotka＇s law was built. The abstract fractal meaning of the power index in Lotka＇s law was analyzed by this model, and the fmctal property of Lotka＇s law were verified by practical data.

关 键 词：分形 分维 洛特卡定律 文献计量学 非线性物理学 

分 类 号：O415[理学—理论物理] G350[理学—物理]