Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

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
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)

References

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2020): 37J46, 37J51, 37J06, 37J39

Retrieve articles in all journals with MSC (2020): 37J46, 37J51, 37J06, 37J39


Additional Information

Yanxia Deng
Affiliation: School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai, Guangdong, China, 519082
Email: dengyx53@mail.sysu.edu.cn

Zhihong Xia
Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208
MR Author ID: 271126
Email: xia@math.northwestern.edu

Received by editor(s): April 11, 2015
Received by editor(s) in revised form: December 31, 2016, December 6, 2017, and March 6, 2018
Published electronically: March 16, 2021
Communicated by: Nimish Shah
Article copyright: © Copyright 2021 American Mathematical Society