18 citations · 31 across the 4 of their papers we have counts for
11 papers
Phase dynamics of noise-induced coherent oscillations in excitable systems
Jinjie Zhu, Yuzuru Kato, Hiroya Nakao
Noise can induce coherent oscillations in excitable systems without periodic orbits. Here, we establish a method to derive a hybrid system approximating the noise-induced coherent…
Asymptotic phase and amplitude for classical and semiclassical stochastic oscillators via Koopman operator theory
Yuzuru Kato, Jinjie Zhu, Wataru Kurebayashi +1
The asymptotic phase is a fundamental quantity for the analysis of deterministic limit-cycle oscillators, and generalized definitions of the asymptotic phase for stochastic oscilla…
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…
Fast optimal entrainment of limit-cycle oscillators by strong periodic inputs via phase-amplitude reduction and Floquet theory
Shohei Takata, Yuzuru Kato, Hiroya Nakao
Optimal entrainment of limit-cycle oscillators by strong periodic inputs is studied on the basis of the phase-amplitude reduction and Floquet theory. Two methods for deriving the i…
Optimization of periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators
Yuzuru Kato, Anatoly Zlotnik, Jr-Shin Li +1
We propose a general method for optimizing periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators based on phase reduction and nonlinear programmi…
Instantaneous phase synchronization of two decoupled quantum limit-cycle oscillators induced by conditional photon detection
Yuzuru Kato, Hiroya Nakao
We show that conditional photon detection induces instantaneous phase synchronization between two decoupled quantum limit-cycle oscillators. We consider two quantum van der Pol osc…