Higher order normal modes

The Journal of Geometric Mechanics, vol. 12, pp. 421–434

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.

Authors 2

1. Giuseppe Gaeta

   University of Milan

   Affiliation as printed

   University of Milan

2. Sebastian Walcher Aachen Mathematik A

   RWTH Aachen University

   Affiliation as printed

   Mathematik A, RWTH Aachen, D-52056 Aachen, Germany

   RWTH Aachen University