Tatyana Titorenko

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The paper presents some results of qualitative analysis of Kirchhoff’s differential equations describing motion of a rigid body in ideal fluid in Sokolov’s case. The research methods are based on Lyapunov’s classical results. Methods of computer algebra implemented in the computer algebra system (CAS) “Mathematica” were also used. Combination of these(More)
Some problems of qualitative analysis of differential equations can be reduced to algebraic ones that allows one to apply efficiently computer algebra methods for their solving. Examples of such problems are: finding equilibrium points, periodic solutions, stationary sets, etc., as well as investigation of stability, attraction and bifurcations for such(More)