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Документ Urban planning aspects of stability theory of ecological town planning systems(KNUBA, 2018-03-19) Ustinova, IrynaThe study of the problems of sustain-able development of the ecological and urban planning system " population ↔ environment" of various levels of its functional and spatial integrity (local, regional, national, world-wide) reveals a number of fundamental provisions that establish the conceptual foundations of a new direction in urban planning science that potentially exists in certain individual works. The development of urban planning aspects of the stability theory is based on the fundamental concept of the physico-mathematical stability theory that is more developed at the present time and the research findings, which established the cyclical nature of the multilevel processes of wave development of the "population ↔ environment" system. The urban planning stability theory studies the nature of the vibrational development of urbanization processes accelerating in a multi-level ecological space. The paper reveals a number of similarities and fundamental differences in the states of stability and the dynamic pattern that are inherent in the development of living and inanimate natural systems. Regarding the differences in state of equilibrium:equilibrium is the goal of development for living systems within a certain cycle and the level of their spatial integrity. For inanimate systems equilibrium is the initial state. Concerning the differences in the stability of the location of the "center of mass": the "center of mass" should occupy the highest possible position (in the range of ecological equilibrium) for living systems; for the inanimate-to take the lowest possible position. When developing the urban development aspects of stability theory were used such concepts of physical and mathematical stability theory as: asymptotic stability; stability "in time" according to Lyapunov; stability "in space" ("stable − unstable node", "stable − nonstable focus ", "stable center"). Marked concepts are important for the analysis of multi-level processes of accelerat-ing development of the ecological and urban plan-ning system; forecasting the direction of its further changes; determination of focuses and parameters of application of urban planning regulatory influ-ences; adapted sustainable development manage- ment.