Model of a dynamical conflict system with regime of chaotic behavior

Authors

  • T. Karataieva Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv https://orcid.org/0000-0003-4404-5334
  • V. Koshmanenko Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv

DOI:

https://doi.org/10.3842/umzh.v78i5-6.9811

Keywords:

різницеве рівняння, динамічна система конфлікту, режим хаотичної поведінки, difference equation, conflict dynamical system, regime of chaotic behavior

Abstract

UDC 517.938, 519.8

We construct a one-dimensional model of conflict dynamics with regime of chaotic behavior. It is shown that this type of behavior appears as a consequence of the nonlinear law of interaction between a pair of abstract opponents. The main factor in the emergence of chaos is the influence of the parameter of external support provided to the minimal element of the system. The properties of the chaotic behavior are graphically illustrated.

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Published

29.05.2026

Issue

Section

Research articles