计算机应用研究2017，Vol.34Issue(12)：3668-3671,4.DOI:10.3969/j.issn.1001-3695.2017.12.033
基于非退化平衡点的分数阶混沌经济系统演化规律研究
Research on evolution law of non-degenerate equilibrium point of fractional order chaotic economic system
摘要
Abstract
Due to some variables had long-term memory in the nonlinear complex economic system,with the characteristics of integer order calculus theory couldn't describe,it can use the fractional calculus theory to analyze the evolution of the model.This paper qualitatively analyzed a class of fractional order chaotic economic system based on the stability of equilibrium point,and studied the complexity evolution law of the system and the occurrence condition of the asymptotic chaotic state in the nondegenerate equilibrium point.It used Block-by-Block algorithm to study the evolution of the non-degenerate equilibrium point of the chaotic economic system and the simulation of the time series diagram and phase diagram.The results show that the evolution of the economic system is in a different stable state based on the change of the investment demand and the differential order and it provides a theoretical basis for the government to control the economic system.关键词
非线性经济系统/分数阶微积分/平衡点/Block-by-Block算法Key words
nonlinear economic system/fractional calculus/equilibrium point/Block-by-Block algorithm分类
信息技术与安全科学引用本文复制引用
胡行华,高雷阜..基于非退化平衡点的分数阶混沌经济系统演化规律研究[J].计算机应用研究,2017,34(12):3668-3671,4.基金项目
国家自然科学基金青年基金资助项目(11401284) （11401284）
国家教育部高校博士学科科研基金联合资助项目(20132121110009) （20132121110009）
辽宁省教育厅基金资助项目(L2015108) （L2015108）
