Complex Dynamics of A Class of Nonlinear Financial Systems and Financial Security

Feng Guo; Yin Ding

doi:10.6911/WSRJ.202506_11(6).0004

Authors

Feng Guo
Yin Ding

DOI:

https://doi.org/10.6911/WSRJ.202506_11(6).0004

Keywords:

Financial model; Financial security; Central manifold theorem; Chaos.

Abstract

During the operation of the financial system, financial chaos such as the severe turbulence of the financial market and the financial crisis occurred due to deterministic instability, which brought a great negative impact on economic growth and financial risk. The dynamics of a financial chaotic system is analyzed, the central manifold function is obtained by using the central manifold theorem. When the parameters of the system take different ranges of values, the dynamic properties of the system change from simple to complex, at last the system exhibits chaotic dynamic properties. The numerical simulation is consistent with the theoretical analysis.

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