Point spectrum in conflict dynamical systems with fractal partition

Authors

  • V. D. Koshmanenko Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka, Kyiv, 01601, Ukraine https://orcid.org/0000-0003-0411-4059
  • O. Satur Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka, Kyiv, 01601, Ukraine
  • V. Voloshyna Taras Shevchenko National University of Kyiv, 60 Volodymyrska, Kyiv, 01033, Ukraine;

DOI:

Keywords:

Complex system, dynamical system, conflict interaction, dynamical system of conflict, stochastic vector, probability measure, fractal partition, iterated function system, self-similar and similar structure measure, point spectrum, approximation of singular distributions, weak convergence, Dirac delta-function

Abstract

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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Published

2019-12-25

Issue

Vol. 25 No. 4 (2019)

Section

Articles

How to Cite

Koshmanenko, V. D., et al. “Point Spectrum in Conflict Dynamical Systems With Fractal Partition”. Methods of Functional Analysis and Topology, vol. 25, no. 4, Dec. 2019, pp. 324-38, https://zen.imath.kiev.ua/index.php/mfat/article/view/736.