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Information × Registration Number 0212U002007, 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 12-01-2012 Organization Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine popup.description2 The motion equations of systems of gyrostats under nonholonomic constraints are obtained. The exact solutions and the first integrals of the equations of a gyrostat moving in the field of potential and gyroscopic forces are found. All cases of the power expansions of solutions of equations of motion of a gyrostat about a fixed point are constructed. Necessary conditions of global asymptotic stability of the equilibrium to the Lienard equation are studied. The method of synthesis of invariant manifolds for problems of synchronization of mechanical systems of quite general form is proposed. The precession motions of the synchronous gyroscope in the Cardano gimbals are investigated. The motion of special systems of interconnected Lagrange gyroscopes is described. The exact conditions of self-oscillations of nonlinear model wheeled vehicle are found. Product Description popup.authors Ігнатьєв Олександр Олегович Вербицький Володимир Григорович Волкова Ольга Сергіївна Волошина Наталія Василівна Горр Геннадій Вікторович Коносевич Юлія Борисівна Лесіна Марія Юхимівна Мозалевська Галина Володимирівна Щербак Володимир Федорович popup.nrat_date 2020-04-02 Close