| 一个对称分数阶经济系统混沌特性研究 |
| |
| 引用本文： | 徐争辉,刘友金,谭文,陈为民.一个对称分数阶经济系统混沌特性研究[J].系统工程理论与实践,2014,34(5):1237-1242. |
| |
| 作者姓名： | 徐争辉 刘友金 谭文 陈为民 |
| |
| 作者单位： | 1. 湖南科技大学 商学院, 湘潭 411201;2. 湖南科技大学 信息与电气工程学院, 湘潭 411201 |
| |
| 基金项目： | 国家社科基金重大招标项目(09&;ZD041);国家自然科学基金(41271139);湖南省自然科学基金(14JJ7053,09JJ3117);《全球化背景下产业集群竞争力与风险控制研究》湖南省高校科技创新团队资助 |
| |
| 摘 要： | 本文利用时域分析方法，研究了对称分数阶经济系统的混沌特性.通过计算系统平衡点并对其特征进行分析，由分数阶系统稳定性理论推导出经济系统产生混沌吸引子的必要条件，实验发现该系统出现混沌现象的最低阶次为2.55.同时采用一种可靠性极高的二进制方法（即“0-1”检验法）来判断混沌吸引子在分数阶经济系统中的存在情况.仿真实验结果证实了理论分析的正确性和所提方法的有效性.
|
| 关 键 词： | 混沌动态性 分数阶微积分 非线性经济系统 时域近似 混沌检验 |
| 收稿时间： | 2011-01-19 |
Chaotic dynamics in a commensurate fractional-order nonlinear economic system |
| |
| XU Zheng-hui,LIU You-jin,TAN Wen,CHEN Wei-min.Chaotic dynamics in a commensurate fractional-order nonlinear economic system[J].Systems Engineering —Theory & Practice,2014,34(5):1237-1242. |
| |
| Authors: | XU Zheng-hui LIU You-jin TAN Wen CHEN Wei-min |
| |
| Institution: | 1. School of Business, Hunan University of Science and Technology, Xiangtan 411201, China;2. College of Information & Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, China |
| |
| Abstract: | The chaotic dynamics in a commensurate fractional-order nonlinear financial system is studied from the time-domain point of view. Through obtaining and analyzing all equilibrium points of the financial system, the necessary condition for the existence of chaotic attractors in the system is derived via the stability theory of fractional-order system. It has been found that chaos is yielded with lowest order 2.55 in the fractional-order financial system. Meanwhile, a reliable binary discriminant for chaos (called "0-1" test) is utilized to detect the chaos presence in the system dynamics. The validation of theory analysis and the effectiveness of the proposed method are demonstrated by the simulation results. |
| |
| Keywords: | chaotic dynamics fractional calculus nonlinear economic system time domain approximation test for chaos |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《系统工程理论与实践》浏览原始摘要信息 |
| 点击此处可从《系统工程理论与实践》下载免费的PDF全文 |
