论文信息 - Harmonic balance and iteration calculations of periodic solutions to y¨+y-1=0

Harmonic balance and iteration calculations of periodic solutions to y¨+y-1=0

We use two methods, harmonic balance and iteration, to calculate analytical approximations to the periodic solutions of a nonlinear singular oscillator.

Ronald E. Mickens | R. Mickens

[1] Ronald E. Mickens. Iteration method solutions for conservative and limit-cycle x1/3 force oscillators , 2006 .

[2] Ronald E. Mickens,et al. Oscillations in Planar Dynamic Systems , 1996, Series on Advances in Mathematics for Applied Sciences.

[3] Ji-Huan He. SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS , 2006 .

[4] Ronald E. Mickens,et al. A generalized iteration procedure for calculating approximations to periodic solutions of “truly nonlinear oscillators” , 2005 .

[5] D. F. Hays,et al. Table of Integrals, Series, and Products , 1966 .

[6] Mary L. Boas,et al. Solving Equations with Physical Understanding , 1985 .