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,

Descriptive Note:

Corporate Author:

ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER CHARLOTTESVILLE VA

Personal Author(s):

Report Date:

1973-01-09

Pagination or Media Count:

19.0

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

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE