Chaos theory as an innovative research tool makes it possible to capture non-linear and complex relationships between various phenomena occurring in economic processes. Thanks to the use of chaotic analysis, researchers can examine these relationships in more detail, as well as anticipate possible changes and fluctuations that may affect business processes. At the same time, it is worth noting that chaos theory is not a universal tool and requires specialist knowledge and the ability to apply it. Despite this, more and more researchers are starting to use chaos theory in their work, which may contribute to new discoveries and a better understanding of economic processes. As a result, the application of chaos theory can help companies to plan and make better decisions, which in turn can contribute to increased competitiveness and economic growth. The aim of the publication is to show how chaos theory can be a useful and valuable research tool in today's dynamic and complex economic processes.

The chaos theory makes an important contribution to the modeling of economic processes, because the wealth of behaviors of the systems it describes gives the potential possibility of eliminating the inconsistencies between theory and practice. Additionally, chaotic systems are deterministic, i.e. they emphasize the interaction of endogenous factors and refer to the work of the first researchers of economic cycles. Despite many debatable aspects related to the use of deterministic chaos theory algorithms in the process of analyzing joint stock companies on the Warsaw Stock Exchange, their use is fully justified. The aim of the publication is to present the possibility of using measures resulting from the theory of deterministic chaos to assess the attractiveness of investing in specific shares in terms of the economic conditio of a given company on the Warsaw Stock Exchange.