THEORETICAL PRINCIPLES OF THE CONSTRUCTION OF A CONVERGENT NONLINEAR DYNAMIC MODEL OF THE COUNTRY'S FINANCIAL SYSTEM

The article is devoted to the dynamic modeling of financial processes, namely, determining the main parameters that allow analyzing the country's financial system. The author has carried out a scientific study of the main scientific works in the field of economic and mathematical modeling of the economy, namely in the field of organization of macro-financial analysis, application of linear and nonlinear models, determination of their convergence and divergence for the formation of an effective system of financial management at the macro level, and provides information on the main features of the financial system for its virtualization in the context of the formation of the main paradigms of financial science. In order to obtain appropriate scientific results in the study of financial and mathematical tools for macroanalysis, the author uses the main scientific methods, namely empirical methods to identify the main features of the financial system that confirm the potential of dynamic models as tools for its analysis; theoretical methods to adapt mathematical abstractions to the requirements of financial science; synthesis to develop benchmark recommendations for building a system for macroanalysis of financial processes; abstraction – to identify key areas and caveats in the use of convergent nonlinear dynamic models; generalization – to update financial and mathematical tools that allow modern theorists and practitioners in the field of finance to improve promising areas of financial science, namely, the management mechanism and financial policy at the macro level. The article identifies promising types of mathematical models and processes that are relevant for solving strategically important tasks of improving the macroanalysis of the country's financial system from the perspective of the institutional paradigm. The basic requirements for the mechanism of formation of composite leading indicators, which allow to assess in the foreseeable future the state of the financial system, qualitative and quantitative characteristics of financial processes and the level of efficiency of public administration, are updated. Scientific research and evaluation of financial and economic paradigms allowed the author to formulate his own position on the formation of requirements for significant financial indicators, processes and interrelationships in the development of a dynamic model of the financial system.