Instability of periodic orbits by Conley–Zehnder index theory

Yanxia Deng; Zhihong Xia

doi:10.1090/proc/14253

Instability of periodic orbits by Conley–Zehnder index theory

Yanxia Deng, Zhihong Xia

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English (US)
Pages (from-to)	2461-2472
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	149
Issue number	6
DOIs	https://doi.org/10.1090/proc/14253
State	Published - Jun 2021

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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title = "Instability of periodic orbits by Conley–Zehnder index theory",

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.",

author = "Yanxia Deng and Zhihong Xia",

year = "2021",

month = jun,

doi = "10.1090/proc/14253",

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T1 - Instability of periodic orbits by Conley–Zehnder index theory

AU - Deng, Yanxia

AU - Xia, Zhihong

PY - 2021/6

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 6

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Instability of periodic orbits by Conley–Zehnder index theory

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