中南民族大学学报（自然科学版）Issue(2)：127-132,6.
资源型产业可持续发展的动力学模型分析及混沌控制
Analysis and Chaotic Control for Dynamical Model of the Sustainable Development of Resource-Based Industry
摘要
Abstract
In this paper, we construct a two-dimensional discrete dynamic system which describe the resource stock and the development pace of resource based on the one-dimensional discrete dynamic system , and the new system control the chaotic system to the positive equilibrium point in a certain range of production under the control of development rate of resources.First of all, we use the method of nonlinear dynamics to analyze the existence and local stability of the positive equilibrium point of the two-dimensional system, and get the range of production which ensures the stability of resource at fixed value, then we verify the validity of the threshold by numerical analysis, and the new range of production is wider. And compare with the one-dimensional system, the new system is stable in a certain range of production.In the end, we argue that if the government manage the speed of exploiting resources, not only can we maintain a certain stock of resources so that people can get more resources permanently, but also we can ensure a higher yield.关键词
资源型产业/混沌控制/flip分叉/Neimark-Sacker分叉Key words
resource-based industry/chaos control/flip bifurcation/Neimark-Sacker bifurcation分类
数理科学引用本文复制引用
顾恩国,秦文钊,安树庭..资源型产业可持续发展的动力学模型分析及混沌控制[J].中南民族大学学报（自然科学版）,2015,(2):127-132,6.基金项目
国家自然科学基金资助项目（61374085）；中南民族大学研究生创新基金资助项目 （）
