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Information × Registration Number 0221U106885, 0117U000206 , R & D reports Title Development of methods for qualitative and numerical analysis of nonlinear systems for analysis of large data in biology, medicine, climatology popup.stage_title Head Zghurovskyi Mykhailo Z., Registration Date 22-12-2021 Organization Educational and Scientific Complex "Institute for Applied System Analysis" of National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" popup.description2  The research develops a methodology for solving problems of global analysis of general classes of nonlinear systems. In particular, the theory of uniform attractors of nonlinear differential-operator systems has been developed, which makes it possible to reduce the issues of global analysis of distributions of nonlinear processes to the study of a finite number of most probable with given accuracy scenarios. New high-precision methods of approximate solution of differential operator systems are applied for analyze the finite number of scenarios. New a priori estimates of the solutions are obtained. Accurate estimates of errors for approximations have been established with the help of the developed methods based on the regularity of each solution of formalized systems of differential-operator inclusions. Effective methods of system analysis of large systems, which allow modeling and forecasting their states, operative decision-making in conditions of limited computing resources and large data sets are proposed Product Description popup.authors Gorban Nataliia Volodymyrivna Kapustyan Oleksiy Volodymyrovych Kasyanov Pavlo Olegovich Kupenko Olga Petrivna Khomenko Olha Volodymyrivna popup.nrat_date 2021-12-22 Close