The author analyzes in detail the possibilities of policy networks influence on the political sphere, emphasizing the formation of new network institutions of public and political participation, the transition from a linear model of political participation to interactive. Analyzing technological and socio-economic changes, the author comes to an intermediate conclusion that the basic actor of modern politics is an individual able to directly participate in socio-political processes thanks to modern means of network communication, and the policy itself acquires the properties of a nonlinear dynamic system. The object of the research is a political space that is under the influence of the processes of networkization and socio-economic transformations, thereby acquiring the properties of a nonlinear dynamical system. The subject of the study are possible ways of development in the conditions of nonlinear dynamics. In the course of the research, the author models the most likely scenarios for changing political systems and management practices in these conditions. As a result, the author identifies seven possible ways of development in conditions of nonlinear dynamics. Some of these ways are based on the assumption that
the political system perceives the network environment as a destabilizing and hostile
factor, which leads to a confrontation between traditional political systems and the network space. Other ways of development involve the use of the effects of self-organization, co- creation and the complicity of political networks to formulate and implement effective policy. The author comes to the conclusion that the most optimal solution is the diversified implementation of those development ways that would allow using the synergistic effects of networks for the development of policies corresponding to the public interests.