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arXiv · 2007.13341

Higher order normal modes

Giuseppe Gaeta·Sebastian Walcher
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Abstract

Normal modes are intimately related to the quadratic approximation of a potential at its hyperbolic equilibria. Here we extend the notion to the case where the Taylor expansion for the potential at a critical point starts with higher order terms, and show that such an extension shares some of the properties of standard normal modes. Some symmetric examples are considered in detail.

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Giuseppe Gaeta, Sebastian Walcher. 2020-07-27. Higher order normal modes. https://arxiv.org/abs/2007.13341

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