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Information × Registration Number 0206U000096, 0101U001093 , R & D reports Title The development of new methematical methods for investigation of the modern problems of a rigid body analytical dynamic. popup.stage_title Head Kharlamova Elena Ivanovna, Registration Date 12-01-2006 Organization Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine popup.description2 Objects of investigation - rigid body, gyrostat and system of interconnected bodies; multi-parametric dynamical systems, appearing in modern mechanical problems. Topological and qualitative methods for investigation thestructure of trajectories on invariant manifold in the phase space of mechanical systems. A method for topological classification of global Poincare sections in several problems of Rigid body dynamics. A method of integration the generalized dynamical equations, describing a Rigid body with fixed point, is proposed for the case of one invariant relation of a special form. A method for investigation of uniform asymptotic stability of solutions is created for nonlinear systems with impulsive effect. A new method of solving the inversecontrol problem is proposed, based on the synthesis of invariant manifolds for several trajectories. Product Description popup.authors popup.nrat_date 2020-04-02 Close