Instability of periodic orbits by Conley–Zehnder index theory

Yanxia Deng, Zhihong Xia

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)2461-2472
Number of pages12
JournalProceedings of the American Mathematical Society
Issue number6
StatePublished - Jun 2021

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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