9 citations · 9 across the 5 of their papers we have counts for
12 papers
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…
Koopman spectral analysis of elementary cellular automata
Keisuke Taga, Yuzuru Kato, Yoshinobu Kawahara +2
We perform a Koopman spectral analysis of elementary cellular automata (ECA). By lifting the system dynamics using a one-hot representation of the system state, we derive a matrix…
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…