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

Authors: Yanxia Deng and Zhihong Xia
Journal: Proc. Amer. Math. Soc. 149 (2021), 2461-2472
MSC (2020): Primary 37J46, 37J51, 37J06, 37J39
DOI: https://doi.org/10.1090/proc/14253
Published electronically: March 16, 2021
MathSciNet review: 4246797
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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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