摘要
本文考虑社会文明与社会丑恶现象的制约机制，建立一个综合国力的非线性数学模型，从数学上讨论相应的二次微分系统的Ｈｏｐｆ分叉、中心与细焦点的判定、极限环的存在唯一性等问题，并对数学结论予以合理解释，把社会相平面划分成社会发展区域、社会动荡区域和社会崩溃区域，研讨社会走向。
In this paper, a nonlinear mathematical model for describing the synthetical national power is established. The Hopf bifurcation, decision of center and focus, existence and uniqueness of limit cycle of this model are thoroughly studied. By dividing the social phase plane into social develop region, social turbulence region, and social collapse region, social explanations are given.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1997年第1期29-36,共8页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
关键词
数学模型
二次微分系统
极限环
综合国力
Mathematical Model, Polynomial Differential System of Degree 2, Hopf Bifurcation, Limit Cycle, Synthetical National Power.
