文章基本信息

标题：Dynamical analysis and adaptive fuzzy control for the fractional-order financial risk chaotic system
本地全文：下载
作者：Sukono ; Aceng Sambas ; Shaobo He 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-12
DOI：10.1186/s13662-020-03131-9
出版社：Hindawi Publishing Corporation
摘要：In this paper, a fractional-order model of a financial risk dynamical system is proposed and the complex behavior of such a system is presented. The basic dynamical behavior of this financial risk dynamic system, such as chaotic attractor, Lyapunov exponents, and bifurcation analysis, is investigated. We find that numerical results display periodic behavior and chaotic behavior of the system. The results of theoretical models and numerical simulation are helpful for better understanding of other similar nonlinear financial risk dynamic systems. Furthermore, the adaptive fuzzy control for the fractional-order financial risk chaotic system is investigated on the fractional Lyapunov stability criterion. Finally, numerical simulation is given to confirm the effectiveness of the proposed method.
关键词：Chaos ; Financial risk system ; Fractional-order model ; Dynamical analysis ; Adaptive fuzzy control