Accession Number : AD0684649

Title :   A STUDY OF WEAKLY NONLINEAR DYNAMICAL SYSTEMS AND THEIR STABILITY.

Descriptive Note : Final rept. 16 Sep 67-15 Sep 68,

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

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

Report Date : 08 JAN 1969

Pagination or Media Count : 4

Abstract : A systematic procedure for obtaining the Liapunov functions necessary for obtaining the largest domain of attraction of almost periodic solutions of a class of weakly nonlinear dynamical systems has been completed. The procedure has then been applied to obtain explicit estimates of domains of attraction for systems of physical importance. Furthermore, some previously obtained mathematical results on systems with 'fast' and 'slow' time have now been applied to a large class of parametrically excited dynamical systems that occur in technical applications. The frequency of the parametric excitations in this work can range from very low to very high frequencies. (Author)

Descriptors :   (*NONLINEAR SYSTEMS, STABILITY), PERIODIC VARIATIONS, DYNAMICS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE