50 citations · 256 across the 33 of their papers we have counts for
8 papers · 1 filter
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…
Relation of stability and bifurcation properties between continuous and ultradiscrete dynamical systems via discretization with positivity: one dimensional cases
Shousuke Ohmori, Yoshihiro Yamazaki
Stability and bifurcation properties of one-dimensional discrete dynamical systems with positivity, which are derived from continuous ones by tropical discretization, are studied.…
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…
Dynamical properties of max-plus equations obtained from tropically discretized Sel'kov model
Shousuke Ohmori, Yoshihiro Yamazaki
Max-plus equations are derived from tropically discretized Sel'kov model via ultradiscretization. These max-plus equations possess common dynamical structures with the discretized…
A simple model for ultradiscrete Hopf bifurcation
Shousuke Ohmori, Yoshihiro Yamazaki
Dynamical properties of ultradiscrete Hopf bifurcation, similar to those of the standard Hopf bifurcation, are discussed by proposing a simple model of ultradiscrete equations with…
Ultradiscrete Bifurcations for One Dimensional Dynamical Systems
Shousuke Ohmori, Yoshihiro Yamazaki
Bifurcations of one dimensional dynamical systems are discussed based on some ultradiscrete equations. The ultradiscrete equations are derived from normal forms of one-dimensional…