Accession Number : AD0284120

Title :   THE APPLICATION OF PROBABILITY METHODS TO THE SOLUTION OF CERTAIN NONLINEAR PROBLEMS IN THE APPLIED THEORY OF GYROSCOPES,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : SVESHNIKOV,A.A.

Report Date : 02 AUG 1962

Pagination or Media Count : 1

Abstract : A method of investigating dynamic systems containing essentially nonlinear elements is considered. The method is based on the use of improper integrals to obtain an explicit expression for the nonlinear functions. The specific example considered in this article shows that in certain cases the application of the method of statistical linearization to the study of nonlinear systems can actually lead to qualitatively incorrect results. (Author)

Descriptors :   *FUNCTIONS(MATHEMATICS), *GYROSCOPES, *NONLINEAR SYSTEMS, *PROBABILITY, ALGEBRA, CONTROL SYSTEMS, FUNCTIONAL ANALYSIS, INTEGRALS, POLYNOMIALS, STATISTICAL FUNCTIONS, STATISTICAL PROCESSES, THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE