On Mathematical Models of a Finance System

This paper opens new possibilities for application of chaos theory in the financial industry, namely analyzing solutions of systems of ordinary differential equations using the Lyapunov exponent and Kaplan-York dimensions. Using mathematical tools, including two-dimensional and three-dimensional attractor projections, a three-dimensional financial model constructed using ordinary differential equations is analyzed in detail, and conclusions are drawn about the chaotic behavior of the solutions of the system. This paper considers both a financial chaotic system proposed by Gao and Ma in 2009 and its modified analog. The 2D and 3D images of the attractor are provided.