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Application of He’s amplitude-frequency formulation to a nonlinear oscillator with discontinuity. (English) Zbl 1189.65181
Summary: He’s amplitude-frequency formulation is used to obtain a periodic solution of a nonlinear oscillator with discontinuity. The accuracy arrives at 0.73% even when the amplitude tends to infinity.
MSC:
65L99Numerical methods for ODE
34C15Nonlinear oscillations, coupled oscillators (ODE)
34C25Periodic solutions of ODE
References:
[1]Wang, Shu-Qing; He, Ji-Huan: Nonlinear oscillator with discontinuity by parameter-expansion method, Chaos solitons and fractals 35, 688-691 (2008) · Zbl 1210.70023 · doi:10.1016/j.chaos.2007.07.055
[2]He, J. H.: International journal of modern physics B, International journal of modern physics B 20, 1141-1199 (2006)
[3]He, J. H.: Comment on ’he’s frequency formulation for nonlinear oscillators’, European journal of physics 29, L1-L4 (2008)
[4]He, Ji-Huan: An improved amplitude–frequency formulation for nonlinear oscillators, International journal of nonlinear sciences and numerical simulation 9, No. 2, 211-212 (2008)