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arXiv · 1403.1925

The Non-integrability of a Silnikov Equation

Yanxia Hu
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Abstract

Based on the Lie group theory, the one-parameter Lie group admitted by a Silnikov equation is studied. The result reveals that the Silnikov equation accepts no global analytical non-trivial one-parameter Lie group. In this sense, the Silnikov equation is not integrable in quadrature.

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Yanxia Hu. 2014-03-08. The Non-integrability of a Silnikov Equation. https://arxiv.org/abs/1403.1925

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