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Information × Registration Number 0214U000071, 0111U000484 , R & D reports Title Methods of the investigation of nonlinear dynamics of the complex mechanical systems and mathematical modeling of systems of interacting rigid bodies. popup.stage_title Head Gashenenko Igor Nikolaevich, Registration Date 15-01-2014 Organization Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine popup.description2 All power asymptotics are calculated and all power expansions of solutions of the differential equations of motion of a heavy gyrostat are obtained. The method for the study of invariant manifolds, which are described by algebraic invariant relations, is proposed. The method for the study of precession of a gyrostat with two rotating flywheels is developed. A new criterion for the global asymptotic stability of the equilibrium of an autonomous system of differential equations is obtained. For the gimbal mounted gyroscope with synchronous motor a qualitative analysis of its dynamics in the neighborhood of steady motions is done. Product Description popup.authors Ігнатьєв Олександр Олегович Вербицький Володимир Григорович Волкова Ольга Сергіївна Волошина Наталія Василівна Горр Геннадій Вікторович Коносевич Борис Іванович Коносевич Юлія Борисівна Лесіна Марія Юхимівна Мозалевська Галина Володимирівна Синенко Артем Ігоревич Ткаченко Дмитро Миколайович popup.nrat_date 2020-04-02 Close