Instability of periodic orbits by Conley–Zehnder index theory

Deng, Yanxia; Xia, Zhihong

doi:10.1090/proc/14253

Instability of periodic orbits by Conley–Zehnder index theory
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by Yanxia Deng and Zhihong Xia

Proc. Amer. Math. Soc. 149 (2021), 2461-2472

DOI: https://doi.org/10.1090/proc/14253

Published electronically: March 16, 2021

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Abstract:

We study the connections between the stability properties, the Morse index, and the Conley–Zehnder index of a periodic orbit in Lagrangian systems. We obtain an extremely simple criterion for linear instability for certain periodic orbits.

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