[1] Bender C M, Pinsky K S, Simmons L M. A new perturbative approach to nonlinear problems[J]. J Math Phys, 1989,30(7): 1447-1455. [2] Awrejcewicz J, Andrianov I V, Manevitch L I. Asymptotic Approaches in Nonlinear Dynamics:New Trends and Applications[M]. Heidelberg: Springer, 1998. [3] HE Ji-huan. Homotopy perturbation technique[J]. Computer Methods in Applied Mechanics and Engineering, 1999,178(3/4):257-262. [4] HE Ji-huan. A coupling method of homotopy technique and perturbation technique for nonlinear problems[J]. Int J Nonl Mech,2000,35(1):37-43. [5] HE Ji-huan. A new perturbation technique which is also valid for large parameters[J].Journal of Sound and Vibration,2000,229(5): 1257-1263. [6] HE Ji-huan A review on some new recently developed nonlinear analytical techniques[J].International Journal of Nonlinear Sciences and Numerical Simulation, 2000,1 (1): 51-70. [7] Andrianov I, Awrejcewicz J. Construction of periodic solution to partial differential equations with nonlinear boundary conditions[J]. International Journal of Nonlinear Sciences and Numerical Simulation, 2000,1 (4): 327-332. [8] HE Ji-huan. Iteration perturbation method for strongly nonlinear oscillations[J]. Journal of Vibration and Control,2001,7(5):631-642. [9] Acton J R, Squire P T. Solving Equations With Physical Understanding[M]. Bristol and Boston:Adam Hilger Ltd, 1985. [10] HE Ji-huan. Modified Lindstedt-Poincare methods for some strongly nonlinear oscillations Part Ⅰ:expansion of a constant[J]. International Journal of Non-Linear Mechanics,2002,37(2):309-314. [11] HE Ji-huan. Modified Lindstedt-Poincare methods for some strongly nonlinear oscillations Part Ⅱ: a new transformation[J]. International Journal of Non-Linear Mechanics, 2002,37(2): 315-320. [12] HE Ji-huan. Modified Lindstedt-Poincare methods for some strongly nonlinear oscillations Part Ⅲ:double series expansion[J]. International Journal of Non-Linear Science and Numerical Simulation,2001,2(4):317-320. [13] HE Ji-huan. Bookkeeping parameter in perturbation methods[J]. International Journal of Non-Linear Science and Numerical Simulation, 2001,2 (3): 257-264. |