The disparity of indicators of the development is a factor hindering the stable socio-economic development of the regions and forms a number of threats to create a consolidated economic space within the country, so they need to be evaluated in order to develop the tools influencing them. The problem of determination of factors influencing the disparity of regional development is considered in the paper. Published scientific works do not fully meet the needs for research on disparities due to the failure to take into account the levels of influence of individual indicators on dynamic development of regions. The aim of the study is to identify the main indicators that are socio-economic catalysts of the uneven development of regions based on a comprehensive assessment of the achieved level of socio-economic development of regional systems in Ukraine. There are some methods used in the study: taxonomic, grouping, cluster analysis, quartimax, correlation analysis. The paper proposes the mechanism that allows us to identify the key factors that determine the degree of disparity in the socio-economic development of regions. To describe such factors, the definition of a socio-economic catalyst and a retarder of development have been introduced. The calculated weighting factors are used to determine the force of influence of social and economic catalysts on the degree of uneven development of regions. It is revealed that the difference in the development of regions is more determined by economic factors and indicators that represent the welfare. The results of the research can be used to formulate a strategy for regulation of disparities in regional socio-economic development. The implemented methodology for assessing and analyzing interregional socio-economic unevenness and regional disproportions allows us to identify the key factors that determine the imbalance in socio-economic development of regions. Investigation of the factors that form the disparities in regional development allows us to form the systematic tool for influencing them.

The research is aimed at forming a toolbox for recognizing regional communities according to socio-economic development indicators. A carried out study of scientists’ works demonstrated a lack of evaluation tools for studying groups of regions by levels of disparities, which complicates the study of interregional disparities and the impact of various factors upon them. The paper carries out a classification of levels of disparities in the regions by spheres of development, formes a mathematical apparatus for recognizing and forecasting of levels of disparities in the regions. The groups of regions by levels of disparities in seven spheres of development is researched: general economic, socio-demographic, structural, socio-economic, foreign economic, natural-ecological, production. Three groups of regions were identified by levels of disparities in these areas of development: with balanced sphere disparities, with controlled (restrained) sphere disparities, with uncontrolled (unrestrained) sphere disparities. A spatial-dynamic assessment of disparities in the development of clustered groups of regions is advisable for the development and implementation of regional policy measures aimed at regulating the regional development disparities. The originality of the presented work is the study of cluster groups of regions by the levels of disparities in various spheres of life, which allows to assess interregional disparity in the complex and develop a number of measures to resolve the disparities in the development of regions within the country.

The increase in the unevenness of indicators of regional socio-economic development in Ukraine is causing changes in regional economic security, in addition to the deterioration of national welfare. Therefore, there is a need to develop new theoretical and practical approaches for assessing such disparities and forecasting their dynamics. In this article, a toolkit for modelling crises and catastrophes in disparities of regional development is presented, using the example of Ukraine. The purpose of this study is to create models that assess the crisis dynamics in regional disparities in Ukraine, in order to develop tools for ensuring economic security in the region. To achieve this purpose, the following tasks have been identified: to evaluate convergent-divergent processes and the long-term interaction of regional disparity indicators; to simulate possible crises and catastrophes in various spheres of socio-economic development of regions according to the levels of their disparities; and to demonstrate the mutual dependence between disparities of the regions and levels of their economic security. The result of the crisis dynamic assessment is a set of predictive models of possible catastrophes that may occur in Ukraine's regions. This allows for obtaining reliable results for the qualitative analysis of stability factors of disparities in the socio-economic system, accounting for different time intervals that determine the peculiarities of the country's development. The array of constructed models is an effective tool for researching crisis processes in the dynamics of disparity indicators, as they allow for identifying and more thoroughly investigating non-linear cyclical processes in regional economic development, as well as predicting changes in levels of economic security. Such a toolkit allows for the development of a strategy for balanced regional and country development, and for ensuring regional economic security.

Цель исследования -определить противоречия, детерминирующие лакунарный характер межпоколенческой преемственности духовного опыта российского общества в современных условиях. Научная новизна заключается в том, что впервые исследуются сущность и содержание противоречий духовных традиций российского общества в контексте современной действительности. Особое внимание в статье уделено роли социокультурной среды в процессах синергии -энтропии духовной сферы российского социума. В результате доказано, что аутентичное содержание духовных традиций российского общества на современном этапе их развития способно выполнять функцию общественной синергии, несмотря на существенное внешнее консциентальное воздействие и внутренние энтропийные явления.

Indicators of socio-economic development of the regions of Ukraine demonstrate a tendency to increase disproportions, which are significantly intensified in the conditions of military operations. In addition to the deterioration of performance indicators, this trend leads to the fragmentation of the country's economic space. Regulation of regional development does not contribute to the reduction of disparities, in particular, due to shortcomings in the assessment, interpretation of indicators of disparities and modeling of their dynamics, which leads to the definition of unrealistic goals of regulation. Taking into account the need to ensure the connection between short-term and long-term planning of regional development, the purpose of the article is to develop theoretical and empirical foundations aimed at regulating dynamic processes in the indicators of regional development disproportions. To achieve the goal, the following tasks were chosen: to analyze the models of convergent-divergent processes of regional development imbalances, to build models of long-term interaction of indicators of imbalances in the spheres of life, to determine the basis for assessing the crisis dynamics of regional indicators. Methodology. To regulate the development of regions, a model of long-term interaction of indicators of disproportions in various spheres has been developed. The process component of the study of dynamic processes in the indicators of regional disproportions and forecasting of crisis situations in the spheres of regional activity, which covers the tasks, tools and main results of the study, has been formed. The paper investigates the long-run interaction of inequality indicators in different areas using econometric dynamic vector autoregressive and error correction models (VAR&ECM). This makes it possible to identify and predict non-stationary impulse processes in general, to identify trends relevant to individual phases of activity, to identify the relationship and interdependence of the trajectory of imbalances. The research tools are designed to solve a set of tasks on the regulation of imbalances. The originality of the article lies in the application of the modeling results in the form of interrelationships of disproportions for different time intervals in the formation of a set of programs and preventive measures to manage regional development disproportions. This also enhances the practical significance of the study. Practical implication. The data obtained as a result of the study of the dynamic processes of disproportion indicators can be taken into account in solving a set of tasks to regulate the disproportions of regional development, developing a set of measures for the implementation of regional strategies, financial and budgetary regulation of regional development, determining budget expenditures for solving problems arising from disproportions.