Nonlinear properties of trajectories in models of dynamic conflict system

Abstract

This article focuses on the study of trajectory properties of conflict dynamical systems. Both attractive and repulsive interactions between system components are considered. The results reveal a wide range of behavioral scenarios, including stable, cyclic, quasi-periodic, and chaotic regimes. Special attention is given to the role of interaction parameters and initial conditions in determining the long-term dynamics of the system. The findings provide a foundation for modeling conflict systems in various applied domains, such as economics, ecology, and social sciences.