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Theory of Periodic Solutions

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Part of the Astrophysics and Space Science Library book series (ASSL,volume 443)

Abstract

In the partial derivatives of X, the \( x_{i} \) are replaced by the periodic functions \( \varphi_{i} \). The \( \xi \) are thus determined by the linear equations with a right-hand side, whose coefficients are periodic functions .

Keywords

  • Periodic Solution
  • Periodic Function
  • Constant Term
  • Asymptotic Solution
  • Arbitrary Constant

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Notes

  1. 1.

    The digits placed to the upper right of the letters x and y in Eq. (8) are indices and not exponents.

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Correspondence to Henri Poincaré .

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Poincaré, H. (2017). Theory of Periodic Solutions. In: The Three-Body Problem and the Equations of Dynamics. Astrophysics and Space Science Library, vol 443. Springer, Cham. https://doi.org/10.1007/978-3-319-52899-1_3

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