学科分类
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1 个结果
  • 简介:Ageneralizedhyperbolicperturbationmethodispresentedforhomoclinicsolutionsofstronglynonlinearautonomousoscillators,inwhichtheperturbationprocedureisimprovedforthosesystemswhoseexacthomoclinicgeneratingsolutionscannotbeexplicitlyderived.Thegeneralizedhyperbolicfunctionsareemployedasthebasisfunctionsinthepresentproceduretoextendthevalidityofthehyperbolicperturbationmethod.Severalstronglynonlinearoscillatorswithquadratic,cubic,andquarticnonlinearityarestudiedindetailtoillustratetheefficiencyandaccuracyofthepresentmethod.

  • 标签: 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