Accession Number : AD0723216

Title :   A Study of Subharmonic Response in Nonlinear System Models.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF STANFORD ELECTRONICS LABS

Personal Author(s) : Moseley,Niles Ransom

Report Date : APR 1971

Pagination or Media Count : 118

Abstract : The report investigates the system model G(u, u dot, . . ., u sup n, t) = F(t), where F(t) is a periodic excitation. Using an approximate solution of the form u(t) = Summation, R=0 to UH (U sub c)(R) cos R (omega sub o) t + (U sub s) (R) sin R (omega sub o) t), analytical theorems and computer results are obtained that yield information into the nature of the existence and non-existence of subharmonic components in the response. By assuming G(u, u dot, . . . , u sup n, t) to be a polynomial, theorems are developed that determine the conditions for the possible existence and non-existence of subharmonic response. (Author)

Descriptors :   (*NONLINEAR DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), (*ELECTRICAL NETWORKS, FOURIER ANALYSIS), APPROXIMATION(MATHEMATICS), DYNAMIC PROGRAMMING, HARMONIC ANALYSIS, PERIODIC VARIATIONS, COMPUTER PROGRAMMING, POLYNOMIALS, STABILITY, THEOREMS

Subject Categories : Electrical and Electronic Equipment
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE