On a Class of Unsymmetric Oscillators with a Parameter

Huang Chengbiao

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On a Class of Unsymmetric Oscillators with a Parameter

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- On a Class of Unsymmetric Oscillators with a Parameter
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 33, Issue 1, Pages: 98-102(1994)
- 作者机构：
  
  中山大学应用力学与工程系
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：1994，
  
  Published Online：25 January 1994，
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Huang Chengbiao. On a Class of Unsymmetric Oscillators with a Parameter. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 33(1):98-102(1994)
DOI：

Huang Chengbiao. On a Class of Unsymmetric Oscillators with a Parameter. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 33(1):98-102(1994) DOI：

摘要

讨论了一类带参数非对称振子的周期解的存在性、唯一性和稳定性；对若干情形给出系统的振幅与参数的关系式，以及参数的分叉值；最后求出振子的一阶近似周期解、周期、频率和相图，并与数值法作了比较。

Abstract

The existence

uniqueness

stability and expression of the periodic solutionsfor a class of unsymmetric oscillators with a parameter are studied.The relationshipbetween the amplitudes of the periodic solutions and the parameters is given. Also thebifurcations are obtained.The first-order expressions of the periodic solutions

periodand frequency are computted emplying the generlized L-P method Comparisions with thenumerical mcthod are made.

关键词

非对称振子周期解分叉

Keywords

unsymmetric oscillatorperiodic solutionsbifurcations

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