9 citations · 13 across the 13 of their papers we have counts for
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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…
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…
Dynamical properties of discrete negative feedback models
Shousuke Ohmori, Yoshihiro Yamazaki
Dynamical properties of tropically discretized and max-plus negative feedback models are investigated. Reviewing the previous study [S. Gibo and H. Ito, J. Theor. Biol. 378, 89 (20…
Types and stability of fixed points for positivity-preserving discretized dynamical systems in two dimensions
Shousuke Ohmori, Yoshihiro Yamazaki
Relationship for dynamical properties in the vicinity of fixed points between two-dimensional continuous and its positivity-preserving discretized dynamical systems is studied. Bas…
Poincare Map Method for Limit Cycles in a Max-Plus Dynamical System
Shousuke Ohmori, Yoshihiro Yamazaki
Dynamical properties of limit cycles in a two-dimensional max-plus dynamical system are discussed. We apply a Poincare map method to the limit cycles in order to reveal their stabi…
Periodicity of limit cycles in a max-plus dynamical system
Yoshihiro Yamazaki, Shousuke Ohmori
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 cyc…