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| Dynamic Analysis and Synchronization Control of a Financial Chaotic System |
| HAN Qin
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| College of Mechanical and Electrical Engineering, Qingchuan University, Wuhan 430204, China |
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Abstract In order to analyze the operating rules of the financial system, the dynamic behavior and synchronization control of a financial chaotic system are studied. By analyzing the dissipativity and the variation of state variables with parameters of the system, the existence of attractor has been proven, and when the system parameters change, the state variables traverses the stable, period doubling bifurcations, chaos, and other states. With the further analysis, the existence of the global exponential attraction set of the system is conducted. Based on the theories of the global exponential attraction set and the Dini derivative, a nonlinear controller is set up in the system to achieve global exponential synchronization control of the driving and response systems of the financial chaotic system. The maximum estimated value of system variables and the range of control parameter values are obtained, which can achieve synchronization between two systems. The correctness of the theoretical analysis is verified through numerical simulation analysis.
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Published: 15 September 2026
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