Accession Number : AD0716538

Title :   Study of Weakly Nonlinear Dynamical Systems and Their Stability.

Descriptive Note : Interim technical rept. 16 Sep 69-15 Sep 70,

Corporate Author : MINNESOTA UNIV MINNEAPOLIS DEPT OF AEROSPACE ENGINEERING AND MECHANICS

Personal Author(s) : Sethna,P. R.

Report Date : 03 NOV 1970

Pagination or Media Count : 5

Abstract : The fundamental results of the Method of Averaging have been generalized in a manner so that new mathematical results are suitable for application to a large class of problems arising in applications. Gyroscopic systems with large conserved momenta are studied using the theory of singular perturbation. A new mathematicalresult valid for finite time has been obtained. The results of the mathematical analysis are applicable to gyroscopes devices with high spin. (Author)

Descriptors :   (*CONTROL SYSTEMS, MATHEMATICAL MODELS), (*GYROSCOPES, EQUATIONS OF MOTION), (*NONLINEAR SYSTEMS, STABILITY), BOUNDARY VALUE PROBLEMS, PERTURBATION THEORY, MOMENTUM, DYNAMICS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE