A Delayed Feedback Control Method for Fractional-Order Chaotic Financial Models

XU Changjin>; DUAN Zhenhua

doi:10.21656/1000-0887.400323

Volume 41 Issue 12

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XU Changjin>, DUAN Zhenhua. A Delayed Feedback Control Method for Fractional-Order Chaotic Financial Models[J]. Applied Mathematics and Mechanics, 2020, 41(12): 1392-1404. doi: 10.21656/1000-0887.400323

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A Delayed Feedback Control Method for Fractional-Order Chaotic Financial Models

doi: 10.21656/1000-0887.400323

XU Changjin>¹,
DUAN Zhenhua²

¹Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550025, P.R.China;²Department of Basic Sciences, Guangzhou Railway Polytechnic,Guangzhou 510430, P.R.China

Funds: The National Natural Science Foundation of China(61673008)

Received Date: 2019-10-25
Rev Recd Date: 2020-02-12
Publish Date: 2020-12-01

Abstract

Abstract

The chaos control of a class of fractional-order delayed financial models was studied. The chaotic behavior was successfully controlled by means of the time delayed feedback control method. The sufficient condition to ensure the stability and the existence of the Hopf bifurcation was established. The effects of the delay and the fractional order on the stability and bifurcation were revealed. Numerical simulations verify the correctness of the theoretical analysis. The obtained results provide a theoretical foundation for financial stability.
- financial model,
- fractional order,
- Hopf bifurcation,
- stability,
- chaos control,
- delayed feedback control method

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References(18)

References

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