Date of Award
Department of Physics
Ronald E. Mickens
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.
Mixon, Melody D., "Approximate solutions to the anti-symmetric quadratic spring system" (1992). ETD Collection for AUC Robert W. Woodruff Library. 3525.