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Information × Registration Number 0213U001031, 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 10-01-2013 Organization Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine popup.description2 Frequencies dependence on parameters for integrable cases of the equations of the rigid body motion is studied. New integrable cases are obtained for the Kirchhoff's generalized differential equations. Analogues of classical periodic and quasiperiodic solutions are found in the problem on motion of a gyrostat with variable gyrostatic moment. Sufficient conditions of global asymptotic stability for equilibrium positions of Lotka-Volterra equations are studied. The global attraction property is established for the set of steady motions of a gimbal mounted asynchronous gyroscope. Analytical expressions, which determine self-oscillations amplitudes as functions of velocities, are obtained for a wheel vehicle model. 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