Periodicity of limit cycles in a max-plus dynamical system

Yoshihiro Yamazaki*, Shousuke Ohmori

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

By introducing a max-plus dynamical system having limit cycles, we discuss their periodicity, especially their number of discrete states. We also find that quasi-periodic cycles exist, depending on the bifurcation parameter in the system. Approximate relations between the number of states in the limit cycles and the value of the bifurcation parameter are proposed.

Original languageEnglish
Article number103001
Journaljournal of the physical society of japan
Volume90
Issue number10
DOIs
Publication statusPublished - 2021 Oct 15

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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