Approximate solutions to the anti-symmetric quadratic spring system, 1992

144 Page Views

Since 23 July 2019

Title: Approximate solutions to the anti-symmetric quadratic spring system, 1992
Author: Mixon, Melody D.
Decade: 1990-1999
Abstract: We investigate the construction of analytic approximations to the solutions of the nonlinear anti-symmetric quadratic oscillator. The procedure used is based on the method of generalized harmonic balance as formulated by Mickens. We prove that all solutions to the differential equation are bounded and periodic. This result is based upon the use of a correct definition of the absolute value of a variable and the use of this definition to calculate its derivative.
Document Type: text
Format: application/pdf
Date of Award: 1992-03-01
Degree Type: thesis
Degree Name: Master of Science (MS)
Granting Institution: Clark Atlanta University
Department: Department of Physics
Advisor: Mickens, Ronald E.
Institution: Clark Atlanta University
Geographic Location: Georgia--Atlanta
Handle: http://hdl.handle.net/20.500.12322/cau.td:1992_mixon_melody_d