The paper examines the dynamics of the population of the city of Moscow from the point of view of the formation of various cyclical fluctuations. To analyze the phenomena, an extensive data set is used on the position of subscribers of mobile operators in the city with a time frame of 30 minutes for 2018–2019. The availability of data on the population of the city with such a high frequency of updating allowed us to obtain unique information about the patterns of movement of the city’s population, numerically characterize the qualitative results of chronogeography and the concept of social time. Based on the analysis, a model of the movement of the city’s population is developed, consisting of a trend around which fluctuations of various types occur. The quasi-cycle associated with the change of seasons, the daily cycle, the weekly cycle, as well as the cyclicity of the daily gradient associated with the seasons are revealed. At the same time, there are disturbances in cycles associated with the presence of holidays. The methodology used is based on the method of empirical mode decomposition EMD, nonlinear regression analysis. The decomposition of the daily pulsation series into gradients and trends of changes between night and daytime hours on the example of Moscow districts allowed us to identify eight chronotypes of districts: “classic attractors”, “plateaued attractors”, “lark attractors”, “owl attractors”, “classic bedrooms”, “transit bedrooms”, “sporadic attractors” and “bedroom-attractors” reflecting the functional roles of municipalities and the peculiarities of their position in the system of intra-urban mobility.