Higher order normal modes
Dynamical Systems
2022-08-05 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2007.13341,
title = {Higher order normal modes},
author = {Giuseppe Gaeta and Sebastian Walcher},
journal= {arXiv preprint arXiv:2007.13341},
year = {2022}
}