Accession Number : AD0639911

Title :   LINEARIZATION OF THE EQUATIONS OF MOTION OF AUTONOMOUS SYSTEMS WITH THE AID OF ASYMPTOTIC POLYNOMIALS.

Descriptive Note : Translation series,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : Yaroshevich,G. O.

Report Date : 18 AUG 1966

Pagination or Media Count : 7

Abstract : An effective method is proposed in this paper for constructing the fundamental harmonic of the solution of the nonlinear equation of motion of an autonomous system and a suitable stability criterion is proved. The method is based on the apparatus of approximation of functions recently developed by I. I. Eterman. Systems with one degree of freedom are considered. (Author)

Descriptors :   (*EQUATIONS OF MOTION, *APPROXIMATION(MATHEMATICS)), (*POLYNOMIALS, APPROXIMATION(MATHEMATICS)), POTENTIAL THEORY, FUNCTIONAL ANALYSIS, USSR

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE