On the Number of Periodic Orbits to Odd Order Differential Delay Systems

Weigao Ge and Lin Li
Additional contact information
Weigao Ge: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
Lin Li: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China

Mathematics, 2020, vol. 8, issue 10, 1-19

Abstract: In this paper, we study the periodic orbits of a type of odd order differential delay system with 2 k − 1 lags via the S 1 index theory and the variational method. This type of system has not been studied by others. Our results provide a new and more accurate method for counting the number of periodic orbits.

Keywords: odd order differential delay system; periodic orbits; critical point theory; variational method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/10/1731/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/10/1731/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:10:p:1731-:d:425403

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().