3 papers
nlin.CD2025
Piecewise linear cusp bifurcations in ultradiscrete dynamical systems
Shousuke Ohmori, Yoshihiro Yamazaki
We investigate the dynamical properties of cusp bifurcations in max-plus dynamical systems derived from continuous differential equations through the tropical discretization and th…
nlin.CD2024
A Generalization for Ultradiscrete Limit Cycles in a Certain Type of Max-Plus Dynamical Systems
Shousuke Ohmori, Yoshihiro Yamazaki
Dynamical properties of a generalized max-plus model for ultradiscrete limit cycles are investigated.This model includes both the negative feedback model and the Sel'kov model. It…
nlin.CG2023
Ultradiscretization in discrete limit cycles of tropically discretized and max-plus Sel'kov models
Yoshihiro Yamazaki, Shousuke Ohmori
The state of limit cycles for a tropically discretized Sel'kov model becomes ultradiscrete due to phase lock caused by a saddle-node bifurcation. This property is essentially the s…