APPROXIMATE ANALYTICAL SOLUTIONS FOR THE RELATIVISTIC OSCILLATOR USING A LINEARIZED HARMONIC BALANCE METHOD

被引：8

作者：

Belendez, A. ^{[1
]}

Mendez, D. I. ^{[1
]}

Alvarez, M. L. ^{[1
]}

Pascual, C. ^{[1
]}

Belendez, T. ^{[1
]}

机构：

[1] Univ Alicante, Dept Fis Ingn Sistemas & Teoria Senal, E-03080 Alicante, Spain

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2009年 / 23卷 / 04期

关键词：

Relativistic oscillator; nonlinear differential equations; analytical approximation; harmonic balance method; HOMOTOPY-PERTURBATION METHOD; LINDSTEDT-POINCARE METHODS; NONLINEAR OSCILLATIONS; PARAMETER; PERIOD;

D O I：

10.1142/S0217979209049954

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

The analytical approximate technique developed by Wu et al. for conservative oscillators with odd nonlinearity is used to construct approximate frequency-amplitude relations and periodic solutions to the relativistic oscillator. By combining Newton's method with the method of harmonic balance, analytical approximations to the oscillation period and periodic solutions are constructed for this oscillator. The approximate periods obtained are valid for the complete range of oscillation amplitudes, A, and the discrepancy between the second approximate period and the exact one never exceeds 1.24%, and it tends to 1.09% when A tends to infinity. Excellent agreement of the approximate periods and periodic solutions with the exact ones are demonstrated and discussed.

引用

页码：521 / 536

页数：16

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