Dynamical analysis and adaptive fuzzy control for the fractional-order financial risk chaotic system

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 investigate...

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Bibliographic Details
Published in:Advances in difference equations 2020-12, Vol.2020 (1), p.1-12, Article 674
Main Authors: Sukono, Sambas, Aceng, He, Shaobo, Liu, Heng, Vaidyanathan, Sundarapandian, Hidayat, Yuyun, Saputra, Jumadil
Format: Article
Language:English
Subjects:
Adaptive control
Adaptive fuzzy control
Analysis
Chaos
Chaos theory
Difference and Functional Equations
Dynamical analysis
Dynamical systems
Financial risk system
Fractional-order model
Functional Analysis
Fuzzy control
Liapunov exponents
Mathematical models
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Risk
Stability criteria
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Summary: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.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-03131-9