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Information × Registration Number 0224U001708, 0123U100853 , R & D reports Title Mathematical modeling of complex dynamic systems and processes relevant for state security popup.stage_title Head Tymokha Oleksandr M., Доктор фізико-математичних наук Registration Date 26-01-2024 Organization Institute of Mathematics of the National Academy of Sciences of Ukraine popup.description2 Report on the scientific research work: 133 pages., 8 chapters, 13 figures, 2 tables, 96 sources. CONTROL SYSTEM, MACHINE LEARNING, MODELS OF COMBAT AND CONFLICT, SITUATION AWARENESS, MATHEMATICAL MODELS OF THE FINANCIAL MARKET, ALLOCATION OF RESOURCES UNDER UNCERTAINTY, MOTION OF INTERACTING PARTICLES IN A RANDOM ENVIRONMENT, STOCHASTIC FLOWS, BOUNDARY-VALUE PROBLEMS, APPROXIMATION METHODS. The report on the scientific research work on the topic "Mathematical modeling of complex dynamic systems and processes relevant for state security" contains 133 pages, 8 chapters. The results of research on the topic were published, in particular, in 1 monograph and 20 articles. The object of research: mathematical models in the form of complex dynamic systems that inevitably arise in many military and security tasks. The purpose of the work: the initiation of new areas of applied mathematics related to machine learning and the study of mathematical models, which must arise during the solution of military and security problems, in particular: the problems of improving situational awareness on the battlefield, building calculation schemes of the natural frequencies of missiles carriers, methods of building stabilizing regulators in closed control systems, etc. Research methods: qualitative, numerical-analytical, spectral, variational, group and other methods of analysis of solutions of differential and functional-differential equations, methods of bifurcation theory and their application to the theory of coupled oscillators, Lyapunov–Schmidt theory and the apparatus of generalized inverse operators, potential theory methods, etc. The obtained results are of a fundamental nature, meet high-level international standards, make a significant contribution to the development of science and have the potential for practical application. Product Description popup.authors Boichuk Oleksandr А. Vasylyk Vitalii B. Hutlianskyi Volodymyr Ya Dvornyk Anatolii V. Dzyubenko German A. Dorohovtsev Andrii A. Karataieva Tetyana V Konstantinov Oleksandr V. Koshmanenko Volodymyr D. Lukovskyi Ivan O. Mazko Oleksii G. Makarov Volodymyr L. Nesmelova Olga V. Panchuk Anastasiia A. Pilipenko Andrii Yu. Portenko Mykola I. Rudenko Oleksii V. Riabov Georgii V. Ryazanov Volodymyr I. Savchenko Mariia O. Semenova Yevgeniya V. Solodkiy Serhii Solodun Oleksandr V. Sushko Iryna M. Teplinsky Olexey Yu. Tymokha Oleksandr M. Yuriy V. Trotsenko Feruk Viktor A. popup.nrat_date 2024-01-26 Close