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非线性金融系统的分支分析与时滞反馈控制

Bifurcation analysis and delayed feedback control of nonlinear finance system

中文摘要英文摘要

主要研究了非线性金融系统的分支和混沌控制问题。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分支的存在性。然后应用时滞反馈控制方法分析了金融系统的控制控制问题。通过设计合适的反馈增益和时滞,混沌振荡转变为稳定的平衡点或周期轨。数值模拟验证了理论结果。

In this paper the bifurcation and chaos control of nonlinear finance system is investigated。Firstly, by using the distribution of roots to the associate characteristic equation, we obtain the linear stable region and the conditions of ensuring the existence of Hopf bifurcation。Then we analyze the chaos control of finance system using delayed feedback method。By designing appropriate feedback strength and delay, chaotic oscillation is converted into stable equilibrium or periodic orbit。Finally, some numerical simulation are carried out to support the analytic results。

杨纪华、张二丽、刘媚

数学力学财政、金融

应用数学稳定性Hopf分支混沌时滞反馈控制

application mathematicsstabilityHopf bifurcationchaosdelayed feedback control

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[EB/OL].(2016-04-05)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/201604-44.点此复制

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