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A hyperbolic Lindstedt-Poincare method for homoclinic motion of a kind of strongly nonlinear autonomous oscillators
  • ISSN号：0567-7718
  • 期刊名称：《力学学报：英文版》
  • 时间：0
  • 分类：TN751.32[电子电信—电路与系统] O1[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Applied Mechanics and Engineering, Sun Yat-sen University, 510275 Guangzhou, China, [2]Department of Mechanical Engineering,The University of Hong Kong, Pokfulam, Hong Kong SAR, China
  • 相关基金：The project supported by the National Natural Science Foundation of China （10672193）, Sun Yat-sen University （Fu Lan Scholarship） and the University of Hong Kong （CRGC grant）.
作者： Y. Y. Chen, S. H. Chen, K. Y. Sze
关键词： 非线性振荡器, 庞加莱, 强非线性, 双曲, 自治, 分岔参数, 临界值, Lindstedt-Poincare method , Hyperbolic function , Nonlinear autonomous oscillator - Homoclinic orbit
中文摘要：

一个夸张 Lindstedt Poincar é方法被介绍决定一种非线性的振荡器，人诊所分叉参数的批评价值能在是坚定的人诊所解决方案。概括 Li é nard 振荡器详细被学习，并且现在的方法的预言与 Runge Kutta 方法的那些相比说明它的精确性。

英文摘要：

A hyperbolic Lindstedt-Poincare method is presented to determine the homoclinic solutions of a kind of nonlinear oscillators, in which critical value of the homoclinic bifurcation parameter can be determined. The generalized Lienard oscillator is studied in detail, and the present method＇s predictions are compared with those of Runge-Kutta method to illustrate its accuracy.

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期刊信息
  • 《力学学报：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国力学学会 中国科学院力学研究所
  • 主编：卢天健
  • 地址：北京市海淀区北四环西路15号
  • 邮编：100190
  • 邮箱：actams@cstam.org.cn
  • 电话：010-62536271
  • 国际标准刊号：ISSN：0567-7718
  • 国内统一刊号：ISSN：11-2063/O3
  • 邮发代号:2-703
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:352