# Accession Number:

## AD0731893

# Title:

## Behavior of the Solutions of a System of Differential Equations in the Neighborhood of Closed Orbits,

# Descriptive Note:

# Corporate Author:

## FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

# Personal Author(s):

# Report Date:

## 1971-08-18

# Pagination or Media Count:

## 27.0

# Abstract:

A system of differential equations is considered. It is assumed that a biparametric family of periodic solutions is known for a system of unperturbed equations n-2 characteristic indices for equations in variations have a negative real part in a certain given vicinity of curve 5 the given functions are periodic in t with a period of 2 Pi uniformly in a given respect and, together with its partial derivatives of any given order, limited and uniformly continuous in a respect for a given equation. With these assumptions the author shows the existence and uniqueness of an integral uniformity depending on two arbitrary constants possessing the property of attracting any solutions of a system of differential equations, the initial values of which belong to some region. Author

# Descriptors:

# Subject Categories:

- Theoretical Mathematics