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Information × Registration Number 0213U000601, 0111U006677 , R & D reports Title Developing new methods of modelling, analise and constructing of control for non linear evolution systems with complicated dynamics popup.stage_title Head Perestyuk Mykola Oleksijovych, Registration Date 26-02-2013 Organization Taras Shevchenko Kiev university popup.description2 With ussing V.I. Arnold method of finding of fixed points of symplectical diffeomorphisms it is found the existence not only of ultrasubharmonics which are concentrated near homo or heteroclinial cycles, but also of those which are distributed through whole ring domain which is layered with regular closed level curves of non excitemented Hamiltonian. It is proven the analogue of the theorem on existence of stable solution of linear system of differential equations in Lappo-Danilevcky case. It is studied the question on existence of integral sets of expansions of non autonomic system on m-dimensional torus with impulse excitements in fixed time moments and it is found the enough conditions of their asymptotical stability. It is got the results on existence and connection between global and pullback attractors for non autonomy three dimensional systems of hydro dynamical type and evolutional inludions. It is studied the oscillation properties of solutions of linear stochastical Ito eqautions of second order. It is proven the existence of subharmonical periodic solutions and quasiperiodical movements in systems of mechanical type. It is studied the problem of description of (0,1) exponent matrices in terms of minimal elements of this set. It is formulated the main equation of impulses in strains in the continuum. It is constructed the model of the system of laser diagnostics with auto mixings. Product Description popup.authors Асроров Ф.А. Городній М.Ф. Зайцев О.В. Капустян О.В. Парасюк І.О. Перестюк М.О. Плахотник М.В. Розумнюк В.І. Станжицький О.М. Трохимчук Т.М. Фекета П.В. Яровий Л.К. popup.nrat_date 2020-04-02 Close