具有一般势能函数非线性振子周期的解析逼近

具有一般势能函数非线性振子周期的解析逼近

李鹏松¹, 孙维鹏²

1. 东北电力大学理学院, 吉林吉林 132012; 2. 吉林大学数学学院, 长春 130012

收稿日期:2007-10-26 修回日期:1900-01-01 出版日期:2008-05-26 发布日期:2008-05-26
通讯作者: 孙维鹏

Analytical Approximations to Periods of Nonlinear Oscillatorswith General Potential Functions

LI Pengsong¹, SUN Weipeng²

1. College of Sciences, Northeast Dianli University, Jilin 132012, Jilin Province, China;2. College of Mathematics, Jilin University, Changchun 130012, China

Received:2007-10-26 Revised:1900-01-01 Online:2008-05-26 Published:2008-05-26
Contact: SUN Weipeng

摘要/Abstract

摘要： 利用具有偶势能函数非线性振子周期的解析逼近, 建立具有一般势能函数的非线性振子周期的解析逼近, 所构造的解析逼近不仅收敛速度快, 而且能够建立具有一般势能函数的分段非线性振子周期的解析逼近.

关键词: 非线性振子, 偶势能函数, 一般势能函数, 解析逼近

Abstract: Based on the analytical approximations to period of nonlinear oscillators with even potential functions, a new analytical approximate period to nonlinear oscillators with general potential functions is established. The new approximation converges fast and it can also be used to derive the analytical approximate periods of nonlinear oscillators with general potential functions having the form of piecewise expressions.

Key words: nonlinear oscillator, even potential functions, general potential functions, analytical approximation

中图分类号:

O322

李鹏松, 孙维鹏. 具有一般势能函数非线性振子周期的解析逼近[J]. J4, 2008, 46(03): 428-432.

LI Pengsong, SUN Weipeng. Analytical Approximations to Periods of Nonlinear Oscillatorswith General Potential Functions[J]. J4, 2008, 46(03): 428-432.

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