Abstract:
The purpose of the article is to create a concise nonlinear mathematical model for analyzing the growth of fixed assets in a specific industry. The emergence of chaotic behaviour in economic systems was explored, focusing on fluctuations. The study employed methods such as systems analysis, correlation analysis, nonlinear dynamics, and differential equations. It was identified that sharp technological innovations as the primary drivers of short-term fluctuations impacting fixed asset development. The resulting nonlinear dynamic model allowed for flexible operation, transitioning between equilibrium, periodic, and chaotic states based on coefficient values for asset growth rates and time constants reflecting economic system dynamics.
