WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 20, 2025
On Mathematical Models of a Finance System
Authors: , ,
Abstract: 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.
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Keywords: chaos, attractor, Lyapunov exponents, Kaplan-York dimension, chaotic solutions, 2D subspace, 3D image
Pages: 50-55
DOI: 10.37394/23203.2025.20.6