Dynamical properties of max-plus equations obtained from tropically discretized Sel'kov model
Chaotic Dynamics
2021-07-07 v1 Mathematical Physics
math.MP
Abstract
Max-plus equations are derived from tropically discretized Sel'kov model via ultradiscretization. These max-plus equations possess common dynamical structures with the discretized model: Neimark-Sacker bifurcation and limit cycles. The limit cycles of the ultradiscrete max-plus equations have seven discrete states. Furthermore, these max-plus equations exhibit excitability. Relationship between the tropically discretized model and the derived max-plus equations is also discussed based on numerical results. It is found that the derived max-plus equations correspond to a limiting case of the tropically discretized model.
Cite
@article{arxiv.2107.02435,
title = {Dynamical properties of max-plus equations obtained from tropically discretized Sel'kov model},
author = {Shousuke Ohmori and Yoshihiro Yamazaki},
journal= {arXiv preprint arXiv:2107.02435},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2103.16777