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.
Key words: 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.
Full Text
Article Information
| Title | Point spectrum in conflict dynamical systems with fractal partition |
| Source | Methods Funct. Anal. Topology, Vol. 25 (2019), no. 4, 324-338 |
| MathSciNet |
MR4049688 |
| Milestones | Received 31/10/2019 |
| Copyright | The Author(s) 2019 (CC BY-SA) |
Authors Information
V. Koshmanenko
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka, Kyiv, 01601, Ukraine
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;
University of Toulon, Avenue de l’Universite, 83130, La Garde, France
Citation Example
V. Koshmanenko, O. Satur, and V. Voloshyna, Point spectrum in conflict dynamical systems with fractal partition, Methods Funct. Anal. Topology 25
(2019), no. 4, 324-338.
BibTex
@article {MFAT1241,
AUTHOR = {V. Koshmanenko and O. Satur and V. Voloshyna},
TITLE = {Point spectrum in conflict dynamical systems with fractal partition},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {25},
YEAR = {2019},
NUMBER = {4},
PAGES = {324-338},
ISSN = {1029-3531},
MRNUMBER = {MR4049688},
URL = {http://mfat.imath.kiev.ua/article/?id=1241},
}
