Igoshev A.K.National Research Lobachevsky State University of Nizhny Novgorod (UNN), Nizhny Novgorod, Russian Federation email@example.com ORCID id: not available
Kistanova L.A.National Research Lobachevsky State University of Nizhny Novgorod (UNN), Nizhny Novgorod, Russian Federation firstname.lastname@example.org ORCID id: not available
Subject Various cyclical structures represent the most important part in the dynamics of economic process. To analyze the sustainability of economic systems, it is crucial to investigate causes of cyclicality and evaluate the characteristics of its impact on the economic performance of entities. Objectives The aim is to construct economic and mathematical models enabling quantitative and qualitative analysis of economical systems' cyclical development, taking into account possible synergistic effects. Methods We employ methods of the systems theory and systems analysis. Mathematical modeling rests on the Lotka–Volterra equations earlier developed for biological systems. Results We considered several hypotheses. The most efficient are those relying on synergistic approach, as in this case the interrelation of external and internal factors of economic entities is considered to the fullest extent possible. The paper offers economic and mathematical models enabling to search and detect cycles, visualize circular constructions, calculate their characteristics, find centers (stationary state), considering the competitive environment of economic systems. We present mathematical models, like the Lotka–Volterra ones, and analyze the specifics of their behavior for several possible equilibrium states of economic systems. Furthermore, we developed approaches that are based on methods of phase analysis of economic systems. They help find and visualize system economic cycles. Conclusions The proposed methods to analyze cyclical development of economic systems taking into account the synergistic effects enable to assess stability and cyclicality depending on the level of disturbances and delays in the control circuit.
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