In the field of scientific research is the selection and use of approaches for analyzing the state of the political system of society. The collapse of the colonial system, the socialist camp led to the formation of a significant number of states by transitional political regimes. Intensive globalization processes accelerated the already contradictory socio-political processes in transitional and quasi-democratic states. Despite the lack of experience of statehood in some countries, or the lack of democratic political traditions and practices, led to the formation of contradictions between formal and informal rules by the institutions of transitional societies. In the context of the study of the interaction of formal and informal institutions, the question of the use of situational analysis and the synergetic approach, in the process of studying the causes, consequences and the essence of political stability of the instability, is actualized. In cases of situational analysis, it is especially important to note that the essence of the method consists in studying both formal institutions (organizational forms) and informal (practices, models and rules of the game) - as the main subjects and objects of the political process. At the same time, if the situational analysis simply states the presence of certain formal or informal designs, the synergetic approach allows us to trace the dynamics and development of political processes. Considering the political system in which energy acts as the information produced by such formal institutions as political parties and organizations, the synergetic method allows us to consider the system as a self-regulating organization capable of arming the manifestations of political instability. Or vice versa - as a system artificially restraining social entropy, and therefore doomed to destruction, as a result of the action of attractors: economic, political, social, environmental, in the cases of our research.With the help of general scientific (historical, systematic, functional, sociological), general logical methods (analysis, synthesis, induction, deduction, analogy, abstraction) and the methods of politological theoretical and applied learning (institutional, structural comparative, comparative, axiological, behavioral), the analysis of the influence of non-institutional factors on the procedural, organizational and structural aspects of the political system is performed. Research allows us to reveal the essence, structure and consequence of existing processes in the political system. The synergistic method and situational approach details the existing processes, enabling to conduct a correct analysis of the relevant processes. Thus, it can be concluded that these two methods make it possible to qualitatively evaluate and demand. This allows us to correct the actual political practice, towards stabilizing the political environment.