Accession Number : AD0433472

Title :   NONLINEAR OSCILLATIONS IN A SECOND ORDER SYSTEM,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : Ponzo,Peter James

Report Date : JAN 1964

Pagination or Media Count : 107

Abstract : Relaxation oscillations are investigated. A number of analytic curves are obtained which serve as upper and lower bounds on solution trajectories in this plane. In many cases, piecewise connection of such bounding curves provide annular regions within which periodic orbits lie. The number, location, stability and amplitude bounds of periodic solutions may be determined in this manner. When the method is applied to the equation of van der Pol, the upper and lower bounds obtained for the amplitude of the unique periodic solutions compare favourably with the known asymptotic expansion of the amplitude. (Author)

Descriptors :   (*OSCILLATION, NONLINEAR SYSTEMS), DIFFERENTIAL EQUATIONS, STABILITY, MECHANICS, VIBRATION, MOTION, TRAJECTORIES

Distribution Statement : APPROVED FOR PUBLIC RELEASE