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

Author

Listed:
  • Weigao Ge

    (School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
    These authors contributed equally to this work.)

  • Lin Li

    (School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Weigao Ge & Lin Li, 2020. "On the Number of Periodic Orbits to Odd Order Differential Delay Systems," Mathematics, MDPI, vol. 8(10), pages 1-19, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1731-:d:425403
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