Periodicity of limit cycles in a max-plus dynamical system
Chaotic Dynamics
2021-09-15 v2 Mathematical Physics
math.MP
Abstract
By introducing a max-plus dynamical system having limit cycles, we discuss their periodicity, especially the number of discrete states in them. 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.
Keywords
Cite
@article{arxiv.2107.09300,
title = {Periodicity of limit cycles in a max-plus dynamical system},
author = {Yoshihiro Yamazaki and Shousuke Ohmori},
journal= {arXiv preprint arXiv:2107.09300},
year = {2021}
}