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Information × Registration Number 0211U007576, 0106U000045 , R & D reports Title Qualitative methods of the investigation of Qualitative methods of the investigation of nonlinear mechanical systems, their development and applying to the problems of a rigid body dynamics popup.stage_title Head Gashenenko Igor Nikolaevich, Registration Date 13-07-2011 Organization Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine popup.description2 Exact solutions of the motion problem for a gyrostat with variable momentum are found; perturbations of exact solutions of the Euler-Poisson equations are studied. The Jacobi theory of integration of dynamical equations that admit first integrals and invariant sets is developed. Stability of solutions of difference equations is investigated by means of Lyapunov functions as quadratic forms. The method of control of unstable mechanical systems with the deficit of control influences is offered. The bifurcation sets for dynamical model of an automobile are studied. Product Description popup.authors Ігнатьєв Олександр Олегович Вербицький Володимир Григорович Волкова Ольга Сергіївна Волошина Наталія Василівна Горр Геннадій Вікторович Коносевич Юлія Борисівна Мозалевська Галина Володимирівна Щербак Володимир Федорович popup.nrat_date 2020-04-02 Close
R & D report
Head: Gashenenko Igor Nikolaevich. Qualitative methods of the investigation of Qualitative methods of the investigation of nonlinear mechanical systems, their development and applying to the problems of a rigid body dynamics. (popup.stage: ). Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine. № 0211U007576
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Updated: 2026-03-24