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In perturbation theory, the Poincaré–Lindstedt method or Lindstedt–Poincaré method is a technique for uniformly approximating periodic solutions to ordinary differential equations, when regular perturbation approaches fail. The method removes secular terms—terms growing without bound—arising in the straightforward application of perturbation theory to weakly nonlinear problems with finite oscillatory solutions. The method is named after Henri Poincaré, and Anders Lindstedt.

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  • Poincaré–Lindstedt method
  • 庞加莱-林德斯泰特方法
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  • In perturbation theory, the Poincaré–Lindstedt method or Lindstedt–Poincaré method is a technique for uniformly approximating periodic solutions to ordinary differential equations, when regular perturbation approaches fail. The method removes secular terms—terms growing without bound—arising in the straightforward application of perturbation theory to weakly nonlinear problems with finite oscillatory solutions. The method is named after Henri Poincaré, and Anders Lindstedt.
  • 庞加莱-林德斯泰特方法(英语:Poincaré–Lindstedt method)是摄动理论中一种当正则摄动法失效时求解常微分方程的近似周期解的方法, 可以在弱非线性振动问题中消除正则摄动法中出现的长期项。 该方法是以数学家昂利·庞加莱与安德斯·林德斯泰特的名字命名的。
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  • In perturbation theory, the Poincaré–Lindstedt method or Lindstedt–Poincaré method is a technique for uniformly approximating periodic solutions to ordinary differential equations, when regular perturbation approaches fail. The method removes secular terms—terms growing without bound—arising in the straightforward application of perturbation theory to weakly nonlinear problems with finite oscillatory solutions. The method is named after Henri Poincaré, and Anders Lindstedt.
  • 庞加莱-林德斯泰特方法(英语:Poincaré–Lindstedt method)是摄动理论中一种当正则摄动法失效时求解常微分方程的近似周期解的方法, 可以在弱非线性振动问题中消除正则摄动法中出现的长期项。 该方法是以数学家昂利·庞加莱与安德斯·林德斯泰特的名字命名的。
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