arXiv Open Access 2021

Odd index of the amended potential implies linear instability

Yanxia Deng Shuqiang Zhu
Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

Penulis (2)

Y

Yanxia Deng

S

Shuqiang Zhu

Format Sitasi

Deng, Y., Zhu, S. (2021). Odd index of the amended potential implies linear instability. https://arxiv.org/abs/2106.06246

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2021
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓