50 citations · 256 across the 33 of their papers we have counts for
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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…