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
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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"
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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
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Gorban Nataliia Volodymyrivna
Kapustyan Oleksiy Volodymyrovych
Kasyanov Pavlo Olegovich
Kupenko Olga Petrivna
Khomenko Olha Volodymyrivna
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2021-12-22
