Accession Number : AD0755275

Title :   The Behavior of the Solutions of Certain Two-Dimensional Non-Linear Systems of Ordinary Differential Equations in the Interior and Exterior of a Stable Manifold,

Corporate Author : ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER CHARLOTTESVILLE VA

Personal Author(s) : Konyukhova,N. B.

Report Date : 09 JAN 1973

Pagination or Media Count : 19

Abstract : The behavior of the solutions of certain two-dimensional nonlinear systems with an irregular singularity at infinity is studied in the interior and exterior of a one-dimensional stable manifold. The solutions belonging to this manifold are represented in the form of a single parameter exponential series. It is shown how the solutions which do not tend to zero at infinity depart from the stable manifold. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), POWER SERIES, ASYMPTOTIC SERIES, EXPONENTIAL FUNCTIONS, NUMERICAL ANALYSIS, USSR, NONLINEAR SYSTEMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE