经济数学Issue(2)：15-18,4.
金融危机传染的非线性动力学模型
A Nonlinear Dynamic Model of Financial Contagion
摘要
Abstract
The increasing evidences have proved that the financial market is a multi-level nonlinear dynamical system constituted by financial subsystems coupled with extensive connections,which easily transmits the contagion instantaneously. Employing the Differential Dynamics Method,a nonlinear dynamic model was set up to describe the international financial crises contagion within a short time between two countries.The two countries'control force depends on the timely financial assis-tance,the positive attitude and actions to rescue the other infected countries,and investor confidence aggregation,and the im-munity ability of the infected country is considered as the major reasons to drive the nonlinear fluctuations of the stock return rates in both countries during the crisis.According to the Ordinary Differential Equations Qualitative Theory,we find that there are three cases of financial crisis contagion within a brief time between two countries:weak contagion with instability but inhibition,contagion with limit and controllable oscillation,and strong contagion without control in a brief time.关键词
金融危机传染/非线性动力学/微分方程/极限环Key words
financial crisis contagion/nonlinear dynamic/differential equation/limit cycle分类
管理科学引用本文复制引用
吴宝秀,张一..金融危机传染的非线性动力学模型[J].经济数学,2014,(2):15-18,4.基金项目
东北大学基本科研业务费项目(N130323010),东北大学秦皇岛分校校内科研基金项目(XNB201417),东北大学秦皇岛分校校内科研基金项目(XNB201427) （N130323010）
