Year: 2024
Type: article
Abstract: The relevance of this article was determined by the significance of objectively understanding nonlinear, chaotic systems, which are a product of the dynamic nature of modern science and are addressed by synergetics. The study aimed to conduct a theoretical investigation into the objectivity of scientific knowledge by employing synergetics as a non-traditional scientific paradigm within the contemporary philosophy of science and other interdisciplinary domains. The research methods applied included theoretical, historical, and interdisciplinary approaches, as well as mathematical modelling. It has been established that synergetics represents a meta-approach that emerged both as a response to the crises of the 20th and 21st centuries and as a consequence of globalisation, technological progress, and a shift in the perception of natural processes. It has been determined that synergetics, as a scientific discipline, and the synergetic approach, as an interdisciplinary method of scientific inquiry, enable an objective examination of non-equilibrium and nonlinear transformational processes due to the presence of a theoretical and mathematical framework. It has been generalised that the objectivity of scientific knowledge in synergetics is ensured by methods such as nonlinear thermodynamics of non-equilibrium processes, nonlinear oscillation theory in radio-technical systems, differential typology, catastrophe theory, tensor analysis, non-equilibrium statistical physics, qualitative theory of differential equations, and dynamical systems theory. It has been noted that the methodological and statistical framework of synergetics, as a universal method complementing cybernetics, is a composite approach incorporating elements from various fields of scientific inquiry. The study has demonstrated that within the synergetic paradigm, the concept of “chaos” has been reinterpreted, shifting from a destructive force to a creative source of alternative order through the process of self-organisation, which generates order from chaos. It has been indicated that synergetics represents a paradigm for the emergence of new qualities and provides a mathematical explanation of their development by applying nonlinear differential equations and bifurcation theory, which characterise the transition from quantitative changes to qualitatively new states. The practical significance of this study lies in presenting a new perspective on the objectivity of scientific knowledge, grounded in an understanding of the dynamics of self-organisation in complex systems, thereby facilitating the development of comprehensive approaches to addressing contemporary challenges within interdisciplinary frameworks
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4410098508