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.
Mathematical problems and theory of numerical methods