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Information × Registration Number 0218U003040, 0112U007685 , R & D reports Title Exploration of nonlinear dynamic and synchronization of neural system popup.stage_title Head Maistrenko V.L., Registration Date 12-01-2018 Organization National Scientific Centre for Medical and Biotechnical Research popup.description2 The final scientific research report on theme "Research of nonlinear dynamics and synchronization of neural systems", 139 pages, 6 sections, 93 figures, 3 annexes, list of references of 64 items. The authors published 18 papers in refereed journals, 43 conference papers. The object of research on the topic: mathematical models of nonlinear phenomena and processes in neurophysiology. Purpose: the study of synchronization and chaotic dynamics for a wide range of nonlinear evolution processes in systems of coupled oscillators of diverse nature and the search for optimal modes of their operation when applied in neural networks. Methods of research: qualitative and numerical-analytical methods for the analysis of nonlinear mathematical models, the application of the theory of dynamical systems for studying the synchronization and stability of solutions, use of the theory of bifurcations to study the behavior of solutions, depending on the parameters. The chimera states in systems with a small number of elements are investigated. It is shown that the smallest number of elements in a system with a possible quirky state is at least three: two synchronized and one incoherent. By means of theoretical considerations and a practical experiment, the existence of a system of mechanical oscillators given by a system of simple equations of dynamics arising from Newton's law has been demonstrated. The existence of chimera states in small dynamical systems of different nature is shown. Product Description popup.authors Крюкова Галина Віталіївна Майстренко Володимир Леонідович Майстренко Юрій Леонідович Накоренок Сергій Григорович Осів Олексій Петрович Сальніков Андрій Олександрович Судаков Олександ Олександрович Чередарчук Андрій Іванович popup.nrat_date 2020-04-02 Close