Abstract
The problems of sustainable architecture are considered through the prism of creating architectural buildings and urban environments that provide environmental, economic and socio-cultural sustainability. In order to understand the complexity and nature of the permanence of architecture, it should be considered as a fragment of the overall open dynamic system of the city. At the same time, all components of such a system are interconnected by the general dynamics of functioning and often develop in conditions of internal systemic contradictions. The intra-system contradictions of the city as an open dynamic system should be understood as a situation where the attempts of any element of the system to achieve the conditions of optimal functioning are limited or suppressed by other elements of the system. Architecture, as an artificial environment in which these systemic contradictions arise, is forced to respond flexibly to them. The purpose of this work is to identify the systemic contradictions that arise in the process of functioning of the architectural component of the city as an open dynamic system, and to generalize these contradictions. 
 In the development of any system, stability and instability, adaptation and maladaptation are equally necessary. An absolutely unstable system is devoid of the ability to adapt and quickly collapses, while an ultra-stable system, suppressing any fluctuations, retains its structure and behavior, is not able to change qualitatively, that is, it is deprived of the possibility of development, and its destruction becomes only a matter of time. Both types of systems descend into chaos, the difference between them being the time it takes for entropy to explode. 
 The change in the evolutionary and revolutionary stages of the development of systems, their stability and instability forms dynamic cycles in time. Each system has not only cyclical processes due to its nature, but also cycles dictated by the environment. Moreover, the "external" cycles are more stable and stable, while the cycles of internal origin can change under their influence as a result of synchronization - the properties of systems of a diverse nature to produce a single rhythm of coexistence, despite the sometimes extremely weak interconnection.
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