Speaker
Description
V. Koshmanenko, O. Satur (Institute of mathematics of NAS Ukraine, Kyiv, Ukraine)
On structure of the point spectrum
in equilibrium states of the dynamical conflict systems
The structure of the point spectrum in equilibrium time-limiting states of dynamical conflict
systems is studied in terms of probability measures. It is shown that the priority strategy
in a single direction is a necessary and sufficient condition for emergence of measures with
a point spectrum. In this case, the exponential rate of concentration of distributions with a
point spectrum and its density in the phase space is established. The possibility of applying
information about the structure of the point spectrum in a new mathematical model of opinion
formation among individuals of abstract society is proposed. The presented result is developed
the constructions published in [1,2]
References
1. V. Koshmanenko, V. Voloshyna, The emergence of point spectrum in models of conflict dynamical
systems, Ukr. Math. J. 70, 12, 1615-1624 (2018).
2. V. Koshmanenko, O. Satur, V. Voloshyna, Point spectrum in conflict dynamical systems with fractal
partition, Methods Funct. Anal. Topology, 25, 4, 324–338, (2019).
The authors express gratitude for partial financial support for the project ”Mathematical modeling of
complex dynamical systems and processes relevant to state security”(No. 0123U100853).
