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Information × Registration Number 0212U006071, 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 21-02-2012 Organization Taras Shevchenko Kiev university popup.description2 A nonlinear system of direct product of torus and Euclidean space is considered. Ubder the conditions of indefinit coercitivity and indefinit monotonity it is proved the existence of Lipshets invariant section of such system. It is proposed the modification of A.I. Arnold method of proving the existence of fixed points of simplectic diffeomorphisms, which does not use the notion of generator function. More then that, for the width enough class of systems it is proved that for the exixstense of assymptotically stable invariant manifold it is enought to satisfy some exact conditions only for w-limit set of solutions of dynamical system, but not only on the whole torus. In the condition of being constant on the w-limit set of matrices, which are contained in system it is constructed a Samoilenko-Green function of theproblem on the invariant truses of impulse systems and it is found the enought conditions of asymoptotical stability of invariant sets. Product Description popup.authors Асроров Ф.А. Зайцев О.В. Капустян О.В. Парасюк І.О. Перестюк М.О. Плахотник М.В. Розумнюк В.І. Станжицький О.М. Сукретна Г.В. Трохимчук Т.М. Фекета П. Хорошилов О.В. Шкляр Т.Б. Яровий Л.К. popup.nrat_date 2020-04-02 Close