Koshmanenko Volodymyr
@imath.kiev.ua
Institute of mathematics Kyiv Ukraine
WORKING EXPIRIENCE
• Junior researcher at the Institute of Mathematics of the National Academy of Sciences (1970);
• Researcher of the Institute of Mathematics of NASU (1975)
• Leading researcher of the Institute of Mathematics of NASU (since 1986);
• Has been lecturing at Taras Shevchenko University of Kyiv, MP Drahomanov National Pedagogical University, and Kyiv-Mohyla Academy National University for over 40 years.
EDUCATION
Dnipropetrovsk State University, Theorical Physics (1966)
Postgraduate studies at the Kyiv Pedagogical Institute (1970)
Academic degree:
Candidate of Physical and Mathematical Sciences (1970)
Doctor of Physical and Mathematical Sciences (1985)
Senior Researcher (1975)
Professor (1992)
RESEARCH, TEACHING, or OTHER INTERESTS
Multidisciplinary, Statistics, Probability and Uncertainty, Philosophy, Ecology, Evolution, Behavior and Systematics
FUTURE PROJECTS
Theory of the conflict dynamical systems
Modelling of conflict phenomena
Applications Invited
Description of the equilibrium states
The conflict transformations of spectral measures. The problem of the singular continuous spectrum
Fractal and field interpretation of the singular continuous spectrum
Applications Invited
Application to beliefs and opinion formations in social webs
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Scopus Publications
Scopus Publications
- Existence of Compromise States in the Competition of Alternative Opponents in the Presence of External Support
Tetyana Karataieva and Volodymyr Koshmanenko
Springer Science and Business Media LLC - Equilibrium States of the Dynamic Conflict System for Three Players with a Parameter of Influence of the Ambient Environment
T. V. Karataieva and V. D. Koshmanenko
Springer Science and Business Media LLC - A Model of Conflict Society with External Influence
T. V. Karataeva and V. D. Koshmanenko
Springer Science and Business Media LLC - Sure Event Problem in Multicomponent Dynamical Systems with Attractive Interaction
V. D. Koshmanenko and O. R. Satur
Springer Science and Business Media LLC - Society, Mathematical Model of a Dynamical System of Conflict
T. V. Karataeva and V. D. Koshmanenko
Springer Science and Business Media LLC - Mean field model of a game for power
Tatiana Karataieva, Volodymyr Koshmanenko, Małgorzata J. Krawczyk, and Krzysztof Kułakowski
Elsevier BV - Limit Distributions for Conflict Dynamical System with Point Spectra
V. D. Koshmanenko and V. O. Voloshyna
Springer Science and Business Media LLC - Point spectrum in conflict dynamical systems with fractal partition
- Explicitly Solvable Models of Redistribution of the Conflict Space
T. V. Karataeva, V. D. Koshmanenko, and S. M. Petrenko
Springer Science and Business Media LLC - Problem of Optimal Strategy in the Models of Conflict Redistribution of the Resource Space
I. V. Veryhina and V. D. Koshmanenko
Springer Science and Business Media LLC - Fixed points of complex systems with attractive interaction
- Hahn–Jordan Decomposition as an Equilibrium State in the Conflict System
V. D. Koshmanenko and S. M. Petrenko
Springer Science and Business Media LLC - Symmetric operators and closable quadratic forms
Volodymyr Koshmanenko and Mykola Dudkin
Springer International Publishing - Rigged hilbert spaces
Volodymyr Koshmanenko and Mykola Dudkin
Springer International Publishing - Singular perturbations of self-adjoint operators
Volodymyr Koshmanenko and Mykola Dudkin
Springer International Publishing - Some aspects of spectral theory
Volodymyr Koshmanenko and Mykola Dudkin
Springer International Publishing - Dense subspaces in scales of Hilbert spaces
Volodymyr Koshmanenko and Mykola Dudkin
Springer International Publishing - Super-singular perturbations
Volodymyr Koshmanenko and Mykola Dudkin
Springer International Publishing - Singular quadratic forms
Volodymyr Koshmanenko and Mykola Dudkin
Springer International Publishing - Model of a Dynamical System of the “Fire–Water” Conflict Type
T. V. Karataeva and V. D. Koshmanenko
Springer Science and Business Media LLC - Quasipoint spectral measures in the theory of dynamical systems of conflict
V. D. Koshmanenko
Springer Science and Business Media LLC - Model of a dynamical system of a conflict triad
V. D. Koshmanenko and I. V. Samoilenko
Springer Science and Business Media LLC - The conflict triad dynamical system
Volodymyr Koshmanenko and Igor Samoilenko
Elsevier BV - Full measure of a set of singular continuous measures
V. D. Koshmanenko
Springer Science and Business Media LLC - The conflict interaction between two complex systems: Cyclic migration
S. Albeverio, V. Koshmanenko, and I. Samoilenko
Taru Publications
Abstract We construct and study a discrete time model describing the conflict interaction between two complex systems with non-trivial internal structures. The external conflict interaction is based on the model of alternative interaction between a pair of non-annihilating opponents. The internal conflict dynamics is similar to the one of a predator-prey model. We show that the typical trajectory of the complex system converges to an asymptotic attractive cycle.We propose an interpretation of our model in terms of migration processes.