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1. The Non-integrability of a Silnikov Equation

Author

Hu, Yanxia

Subjects
Mathematics - Dynamical Systems
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.

Published
2014

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