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has been cited by the following article:

• TITLE: A Nonlinear Dynamic Model of the Financial Crises Contagions

  AUTHORS: Ke Chen, Yirong Ying

  KEYWORDS: Financial Crises Contagion, Stock Return Rate, Nonlinear Dynamics Model, Limit Cycle

  JOURNAL NAME: Intelligent Information Management, Vol.3 No.1, January 29, 2011

  ABSTRACT: Employing the Differential Dynamics Method, a nonlinear dynamic model is set up to describe the international financial crises contagion within a short time between two countries. The two countries’ control force depending on the timely financial assistance, the positive attitude and actions to rescue other infected countries, and investor confidence aggregation, and the immunity ability of the infected country are 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 found that there are three cases of financial crises 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.