Generalized hyperbolic perturbation method for homoclinic solutions of strongly nonlinear autonomou

• 作 者: 陈洋洋 燕乐纬 佘锦炎 陈树辉
• 机 构: KeyLaboratoryofVibrationControlandStructuralSafetyofMinistryofEducationofChina,DepartmentofEngineeri
• 出 处: 应用数学和力学：英文版
• 发表日期: 2012年9期
• 关键词: 非线性自治系统 双曲线函数 摄动方法 广义 强非线性振动 扰动方法 多项式 振荡器 generalized hyperbolic perturbation me
• 基金项目: Project supported by the National Natural Science Foundation of China （Nos. 10972240 and 11102045）, the Natural Science Foundation of Guangdong Province of China （No. S20110400040）, the Foundation of

A generalized hyperbolic perturbation method is presented for homoclinic solutions of strongly nonlinear autonomous oscillators,in which the perturbation procedure is improved for those systems whose exact homoclinic generating solutions cannot be explici