Dynamical analysis and control of a financial system incorporating technological advancement factor

This study examines a financial model that incorporates technological advancements as a key factor, alongside interest rates, investment demand and price indices, to capture their increasing impact on financial management. This incorporation results in an enhanced four-dimensional chaotic system, which has been extensively analyzed to explore its detailed dynamical behavior, including equilibria, instability and the emergence of various attractors. Bifurcation analysis and Lyapunov exponents have been utilized to gain a deeper understanding of these dynamics. Linear and speed feedback controllers have been designed and implemented as stabilization mechanisms to mitigate identified chaotic behavior. Numerical simulations have been performed to demonstrate the effectiveness of these control strategies, offering robust support for the theoretical findings.