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非线性金融系统的分支分析与时滞反馈控制

发表时间:2016-10-15  浏览量:1321  下载量:407
全部作者: 杨纪华,张二丽,刘媚
作者单位: 宁夏师范学院数学与计算机科学学院;郑州财经学院信息工程学院
摘 要: 主要研究非线性金融系统的分支与混沌控制问题。首先,应用特征方程根的分布理论,得到金融系统的线性稳定性区域以及Hopf分支存在的条件。然后,应用时滞反馈控制方法分析金融系统的混沌控制问题,通过设计合适的反馈增益与时滞,混沌振荡转变为稳定的平衡点或周期轨。最后,采用数值模拟验证了理论结果。
关 键 词: 应用数学;稳定性;Hopf分支;混沌;时滞反馈控制
Title: Bifurcation analysis and delayed feedback control of nonlinear finance system
Author: YANG Jihua, ZHANG Erli, LIU Mei
Organization: School of Mathematics and Computer Science, Ningxia Normal University; School of Information Engineering, Zhengzhou Institute of Finance and Economics
Abstract: In this paper, the bifurcation and chaos control of nonlinear finance system were investigated. Firstly, by using the distribution theory of roots to the associate characteristic equation, we obtained the linear stable region of finance system and the conditions of ensuring the existence of Hopf bifurcation. Then we analyzed the chaos control of finance system by using delayed feedback control method. By designing appropriate feedback strength and delay, chaotic oscillation was converted into stable equilibrium or periodic orbit. Finally, some numerical simulations were carried out to support the analytic results.
Key words: applied mathematics; stability; Hopf bifurcation; chaos; delayed feedback control
发表期数: 2016年10月第19期
引用格式: 杨纪华,张二丽,刘媚. 非线性金融系统的分支分析与时滞反馈控制[J]. 中国科技论文在线精品论文,2016,9(19):1973-1979.
 
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