DOI: 10.33917/es-5.203.2025.96-103

The article examines problematic issues related to developing post-non-classical methodology of thinking and management within the framework of the synergetic approach concept (all its modifications – synergetics 1, 2, 3). According to the authors, this approach includes characteristics of all the main approaches to management (systemic, in the form of managing dissipative systems, process-oriented, in the form of managing self-organization processes, and situational one, in the form of managing open/non-closed systems). The author’s version of the methodology is based on the evolutionary-constructive model of postnon- classical knowledge development by V.S. Stepin, which includes the focuses on “object”, “means” and “subject”. In the article methodology is understood in its classical sense as “a system of principles and methods for organizing and constructing theoretical and practical activities”. Methodology version, developed by the authors, includes several concepts combined into a single system of knowledge and technologies used in the form of cognitive and communicative actions of management subjects while developing and implementing solutions for a specific problem situation. The authors provide a brief description of meta-management/M-management concept and separate concepts characterizing various focuses of the model by V.S. Stepin. An extended description of the concept of cyclo-vortex hierarchies is proposed.

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The article analyzes phenomenon of overall spreading of networks structures in the modern post-industrial society, called the network revolution. Namely network structures based on voluntary co-operation and partnership are becoming the most efficient form of organizing social communities in today’s highly competitive and dynamic social environments. They have advantages over previously prevailing hierarchical structures, as pooling of resources, knowledge and spiritual efforts of people in the network structures provides synergistic effect.

The paper proposes an approach that gives a scientific character to the concept of network-centric management, and considered systemic paradigms allow to consider it as an engineering construction. It proposes the concept and management contour models of the first and the second kind, revealing communities’ management mechanisms and processes of their self-organization. They represent not only new opportunities, but also unfamiliar threats. Only basic knowledge of socio-engineering will help to build a security system, to ensure the survival and development of society. However, given any methodological complexity the human factor plays a decisive role. Management of complex systems requires self-dependence, intelligence coordination and real time actions, the synergy of knowledge, intuition and participants’ sagacity as well as harmonious interaction with the environment, including society.

Article considers methodology of applying the complexity concept in modern scientific discourse. Noting impossibility of its further use in a wellestablished blurred and eclectic form, the author proposes to differentiate this concept for three reasons: syncretic and composite complexity, system complexity and complexity of specialization, complexity of structural elements and inter-elementary links. This differentiation sets a fundamentally new methodological optics in analyzing a wide range of phenomena relating both to the natural sciences and to the humanitarian area, as well as to the problem of evolutionary dynamics.

Article dwells on methodology of complexity concept application in modern scientific discourse. Noting impossibility of its use in a well-settled blurred and eclectic form, the author proposes to differentiate this concept by three arguments: syncretic and combined complexity, complexity of system and complexity of specialization, and finally complexity of structural elements and inter-elementary links. This differentiation sets a fundamentally new methodological optics in analyzing a wide range of phenomena relating to both the natural sciences and humanitarian areas, as well as to the problem of evolutionary dynamics.