Odd index of the amended potential implies linear instability
Dynamical Systems
2021-06-14 v1
Abstract
For a relative equilibrium of a symmetric simple mechanical system, if the Morse index of the corresponding amended potential is odd, whether the nullity is zero or not, it is linearly unstable. We also provide a sufficient condition for spectral instability.
Keywords
Cite
@article{arxiv.2106.06246,
title = {Odd index of the amended potential implies linear instability},
author = {Yanxia Deng and Shuqiang Zhu},
journal= {arXiv preprint arXiv:2106.06246},
year = {2021}
}
Comments
11 pages