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KIAM Preprint  40, Moscow, 2002
Authors: Bruno A. D.
Asymptotics of Solutions to the Ordinary Differential Equations.
Here we consider the general system of ordinary differential equations and propose a method for computation of all power and logarithmic asymptotics of its solutions 1. The method is based on algorithms of Power Geometry. In 2-5 we apply the method to find all logarithmic asymptotics of solutions to the modified system of equations, describing motions of a rigid body with a fixed point in the case B ≠ C, x0 ≠ 0, y0 = z0 = 0. The logarithmic asymptotics form 6 families: 4 with two parameters and 2 with one parameter. All them contain usual and double logarithms.
Publication language: russian
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Bruno Alexander Dmitrievich, RAS