V. Voloshyna

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Articles: 1

Point spectrum in conflict dynamical systems with fractal partition

V. Koshmanenko, O. Satur, V. Voloshyna

↓ Abstract   |   Article (.pdf)

Methods Funct. Anal. Topology 25 (2019), no. 4, 324-338

We discuss the spectral problem for limit distributions of conflict dynamical systems on spaces subjected to fractal divisions. Conditions ensuring the existence of the point spectrum are established in two cases, the repulsive and the attractive interactions between the opponents. A key demand is the strategy of priority in a single region.

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