Accession Number : AD0675236

Title :   A STUDY OF NONLINEAR OSCILLATORY SYSTEMS WITH MANY DEGREES OF FREEDOM IN THE PRESENCE OF RANDOM PERTURBATIONS (ISSLEDOVANIE NELINEINYKH KOLEBATELNYKH SISTEM SO MNOGIMI STEPENYAMI SVOBODY PRI NALICHII SLUCHAINYKH VOZMUSHCHENII),

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Kolomiets,V. G.

Report Date : 22 SEP 1967

Pagination or Media Count : 10

Abstract : Real systems are always subject to the mutual action of systematic and random perturbations. Actually, purely harmonic oscillations do not exist. Oscillations are actually modulations; their amplitude and phase change slowly in time. The problem of investigating the mutual action of random forces on nonlinear oscillatory systems is realized by reducing the real random process to a process without a time lag and without using the Fokker, Plank and Kolmogorov equations. In the article, the behavior of the amplitude and phase of an equivalent oscillatory system is examined in the case when the system is under the action of stationary random perturbations, upon which a change of amplitude and phase is presented as the Markov process. The result is the statistic description of an oscillatory system under single-frequency conditions. (Author)

Descriptors :   (*PERTURBATION THEORY, PROBLEM SOLVING), NONLINEAR SYSTEMS, STOCHASTIC PROCESSES, OSCILLATION, VIBRATION, INTERNAL FRICTION, EQUATIONS OF MOTION, APPROXIMATION(MATHEMATICS), USSR

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE