Analytical Solution of A Nonlinear Oscillatorby the Linearized Perturbation Technique

作     者：Jihuan HE(Shanghai institute of Applied Mathematics and Mechanics, Shanghai University,Shanghai 200072, China)E-mail: glliu@*** 

作者机构：Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China 

出 版 物：《Communications in Nonlinear Science and Numerical Simulation》 (非线性科学与数值模拟通讯(英文版))

年 卷 期：1999年第4卷第2期

页      面：109-113页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

主　　题：perturbation technique non-linear equations artificial parameter’ 

摘      要：In this paper, a nonlinear oscillator with no possible small parameters isconsidered. The traditional perturbation techniques can not be applied to such a *** linearizing the nonlinear system, and embedding an artificial parameter, we obtain anapproximate solution which is valid on the whole solution domain, and the results are inremarkable agreement with the exact one even in the case where the amplitude of theoscillator tends to infinite.