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
synergetic paradigm; self-organisation of systems; open nonlinear systems; fluctuation; bifurcation; creative evolution
[1] Batechko, N. (2016). Formation of state educational policy: Synergetic aspect. Osvitolohiya, 5, 69-75. doi: 10.28925/2226-3012.2016.5.6975.
[2] Batechko, N.H., & Chuhayeva, Y.V. (2022). Analysis of synergistic effects in the conditions of information and cyber threats. Modeling and Information System in Economics, 102, 12-23. doi: 10.33111/mise.102.2.
[3] Birta, H., & Burhu, Yu. (2014). Methodology and organization of scientific research: A textbook. Kyiv: Tsentr Uchbovoi Literatury.
[4] Dzeban, O. (2011). Development of ideas of synergy as new paradigm in natural-scientific and social cognition. Bulletin of the National Law Academy of Ukraine Named After Yaroslav Mudryi, 9, 3-16.
[5] Dzhuzha, O.M., & Tychyna, D.M. (2019). Construction of a synergetic model of a sociological and legal approach in the theory of victimological modeling. Science, Technology, Innovation, 15, 109-116. doi: 10.32366/2523-4269-2019-67-2-109-116.
[6] Gerasymchuk, T. (2024). The impact of non-systemic crisis factors on structural changes in the international system: A synergetic approach. Visnyk of the Lviv University. Series PhilosophicalPolitical Studies, 55, 269-284. doi: 10.30970/PPS.2024.55.33.
[7] Haken, H. (1977). Synergetics: An introduction. Berlin: Springer-Verlag.
[8] Hrazhevska, N. (2006). Theoretical and methodological innovations of synergetics in the study of economic systems transformation. Ukrainian Academy of Banking of the National Bank of Ukraine, 2, 139-143.
[9] Kamyshyn, V.V., Reva, O.M., Radetska, S.V., Shulha, V.M., & Slynkova, T.V. (2018). Synergetics in the development of academic giftedness: Methodological manual. Kyiv: IOD NAPS of Ukraine.
[10] Khodakivskyi, Ye., Danylko, V.K., & Tsal-Tsalko, Yu.S. (2009). Methodology of scientific research in the paradigm of synergetics. Zhytomyr: Zhytomyr State Technological University.
[11] Kilochytska, T. (2014). Prerequisites for the emergence and formation of synergetics. Science and Science Studies, 1, 101-109.
[12] Kilochytska, T., Kuzhelnyi, A., & Kuzhelnyi, S. (2023). Synergetic approach to studying students’ cognitive independence. Visnyk of Chernihiv National Pedagogical University, 20, 126-131.
[13] Kovalenko, A.B., & Bezverkha, K.S. (2018). Theoretical principles of definition of the structure of social identity of personality. Scientific Studios on Social and Political Psychology, 23(2), 80-87.
[14] Kremen, V. (Ed.). (2014). Synergetics and education. Kyiv: IOD NAPS of Ukraine.
[15] Kutsyi, O. (2022). Synergy in general-scientific and organizational-psychological interpretations: Theory and experiments analysis. Scientific Works IAPM. Psychology, 3(56), 72-77. doi: 10.32689/maup.psych.2022.3.10.
[16] Liashchenko, I. (2020). The concept of culture and synergetics. Visnyk of the Lviv University. Series Philosophical-Political Studies, 33, 55-61. doi: 10.30970/PPS.2020.33.7.
[17] Loburets, A.T., Ivanytska, I.O., & Zaika, S.O. (2022). Synergetics and self-organization processes in two-dimensional systems. In Chemistry, biotechnology, ecology, and education: Proceedings of the VI international scientific-practical internet conference (pp. 28-32). Poltava: Poltava State Agrarian Academy.
[18] Morhun, O. (2019). Synergetic paradigm of metaphysical understanding of the unity of thought and being. Visnyk of the Lviv University. Series Philosophical-Political Studies, 24, 70-76. doi: 10.30970/2307-1664.2019.24.9.
[19] Nadurak, V. (2014). The system of social morality: A synergetic approach. Ivano-Frankivsk: Vasyl Stefanyk Precarpathian National University.
[20] Nakonechna, O. (2017). Methodological recommendations for studying the topic “Cognition as a philosophical problem” in seminar classes on the discipline “Philosophy”. Rivne: National University of Water and Environmental Engineering.
[21] Naumkina, O.A. (2021). Principles of post-nonclassical science as a reflection of the integration of modern knowledge. Graal of Science, 4, 373-378. doi: 10.36074/grail-of-science.07.05.2021.069.
[22] Parkhomenko, O.V., Parkhomenko, A.O., & Parkhomenko, H.O. (2022). Systemic and creative basis of being in harmony with the laws of nature. Science, Technology, Innovation, 1(21), 46-53. doi: 10.35668/2520-6524-2022-1-07.
[23] Prigogine, I., & Stengers, I. (1984). Order out of chaos: Man’s new dialogue with nature. New York: Bantam Books.
[24] Schelling, F.W.J. (1798). On the world soul. Hamburg: Perthes.
[25] Shumeiko, L.M. (2023). Synergetic principles in art education. Bulletin of Mariupol State University. Series: Philosophy, Culturology, Sociology, 26, 41-50. doi: 10.34079/2226-2830-2023-13-26-41-50.
[26] Tararoyev, Ya., Dolska, O., Dyshkant, T., Smolyaha, M., Starikova, G., & Alexeyev, I. (2023). Philosophical problems of modern scientific knowledge: A textbook. Kharkiv: Individual entrepreneur I.S. Ivanchenko.
[27] Tkachenko, L. (2013). Development of personality in the definitions of synergetics: Educationalpedagogical thesaurus. Science – to Practice, 8-9(15-16), 20-23.
[28] Tryfonova, O. (2016). Modern scientific picture of the world through the prism of synergy. Scientific Notes of Kirovograd State Pedagogical University of the name of Vladimir Vynnychenko, 9(1), 201-207.