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Dependence of the Behaviors of Trajectories of Dynamic Conflict Systems on the Interaction Vector

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We study several models of dynamic conflict systems. Their behaviors are characterized by a certain quantity called an interaction vector. The interaction vector determines the dynamics of the entire system and its limit states. The existence of the equilibrium limit states of these systems is proved and the conditions for the existence of limit cycles are established. The nonlinear dynamics of the system is illustrated by specific computer examples.

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  1. Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivs’ka Str., 3, Kyiv, 01024, Ukraine

    O. R. Satur

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  1. O. R. Satur
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Correspondence to O. R. Satur.

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Translated from Neliniini Kolyvannya, Vol. 25, No. 1, pp. 72–88, January–March, 2022.

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Satur, O.R. Dependence of the Behaviors of Trajectories of Dynamic Conflict Systems on the Interaction Vector. J Math Sci 274, 76–93 (2023). https://doi.org/10.1007/s10958-023-06572-1

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