[1] LIU Gao-lian.New research directions in singular perturbation theory:artificial parameter approach and inverse-perturbation technique[A].In:CHENG Chang-jun,DAI Shi-qiang,LIU Yu-lu Eds.Conf of 7th Modern Mathematics and Mechanics[C].Shanghai:Shanghai University Press,1997,47-53.(in Chinese)
[2] HE Ji-huan. Homotopy perturbation technique[J]. Computer Methods in Applied Mechanics and Engineering,1999,178(3/4):257-262.
[3] HE Ji-huan. A coupling method of homotopy technique and perturbation technique for nonlinear problems[J]. International J Nonlinear Mechanics,2000,35(1):37-43.
[4] HE Ji-huan. Some new approach to Duffing equation with strongly & high order nonlinearity (Ⅱ) parameterized perturbation technique[J]. Communications in Nonlinear Science & Numerical Simulation,1999,4(1):81-82.
[5] HE Ji-huan. Modified straightforward expansion[J]. Meccanica,1999,34(4):287-289.
[6] HE Ji-huan. A new perturbation technique which is also valid for large parameters[J]. Journal of Sound and Vibration,1999,229(5):1257-1263.
[7] HE Ji-huan. A review on some new recently developed nonlinear analytical techniques[J]. Int J Nonlinear Sciences & Numerical Simulation,2000,1(1):51-70.
[8] Nayfeh A H. Introduction to Perturbation Techniques[M]. London: John Wiley & Sons,1981.
[9] HE Ji-huan. Modified Lindsted-Poincare Methods for some strongly nonlinear oscillations,part Ⅰ: Expansion of a constant[J]. Int J Nonlinear Mechanics,2002,37(2):309-314.
[10] HE Ji-huan. Modified Lindsted-Poincare Methods for some strongly nonlinear oscillations, part Ⅱ: a new transformation[J]. Int J Nonlinear Mechanics,2002,37(2):315-320.
[11] HE Ji-huan. Variational iteration method-a kind of nonlinear analytical technique: some examples[J]. Int J Nonlinear Mechanics,1999,34(4):699-708.
[12] Mickens R E. An Introduction to Nonlinear Oscillations[M]. Cambridge: Cambridge University Press,1981.
[13] Hagedorn P. Nonlinear Oscillations[M]. Wolfram Stafler,transl.[M]. Oxford: Clarendon Press,1981.(English version) |