Hamiltonian approach to nonlinear oscillators

被引：199
作者：
He, Ji-Huan [1 ]
机构：
[1] Donghua Univ, Modern Text Inst, Shanghai 200051, Peoples R China
来源：
PHYSICS LETTERS A | 2010年 / 374卷 / 23期
关键词：
Nonlinear oscillator; Variational principle; Hamiltonian; Amplitude-frequency relationship; ENERGY-BALANCE METHOD; AMPLITUDE-FREQUENCY FORMULATION; MAX-MIN APPROACH; DISCONTINUITIES;
D O I：
10.1016/j.physleta.2010.03.064
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A Hamiltonian approach to nonlinear oscillators is suggested. A conservative oscillator always admits a Hamiltonian invariant, H, which keeps unchanged during oscillation. This property is used to obtain approximate frequency-amplitude relationship of a nonlinear oscillator with acceptable accuracy. Two illustrating examples are given to elucidate the solution procedure. (C) 2010 Elsevier By. All rights reserved.
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收藏
页码：2312 / 2314
页数：3
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