The purpose of the article is the enhancement of the instruments for automation of the
qualitative research of the dynamic system and forecasting values of the parameters, which
characterize organization activities in the economy (particularly in the field of management
of housing and communal services). In this article, the problem of automation of the analysis
of the phase trajectory of the dynamic system is solved (organization of management of
housing and communal services), using the qualitative theory of dynamic systems. The
research is relevant due to the insufficient level of automation of qualitative research of
dynamic systems in the economy with the economic interpretation of research results.
Methods of qualitative theory of dynamic systems, which are used, allow forecasting the state
of the dynamic system without numerical simulation (for example, integrating differential
system, which is a model of the dynamic system). In the article is presented technique, in
accordance with research of the phase trajectory of the dynamic system using the software
application, was conducted. Types of phase points in the phase plane in accordance with
character of behavior of the phase trajectory plane in the neighborhood of the projection of
the phase point were identified. By the example of the phase trajectory analysis, which
characterizes activity of organization of management of housing and communal services,
opportunities of the software application, building of projection of the phase trajectory into
the three planes occurs. It was identified that in the phase planes equilibrium states as
«stable node» and «stable focus» are missing, but there are equilibrium states such as
«unstable node», «unstable focus» and «saddle». The example of detection of the «field of
attraction» of the phase trajectory in phase plane is given. Types of «fields of attraction»
were identified and economic interpretation for the «fields of attraction» was given. The main
directions for the enhancement of the developed software application functionality are
formulated. The materials of the article present the practical value for the experts, who are
forecasting state of the organization in economy, and particularly in the housing and
communal services.
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Popov Alexey Anatolievich
Candidate of Technical Sciences
Email: popov.aa@rea.ru
Plekhanov Russian University of Economics
Moscow, Russian Federation
Kuzmina Anastasia Olegovna
Email: oak96@mail.ru
GMCS
Moscow, Russian Federation
