activity
20132026
most citedSemiclassical Phase Reduction Theory for Quantum Synchronization

47 citations · 267 across the 23 of their papers we have counts for

collaborators

24 papers

physics.flu-dyn2026

Studying oscillation death in two-dimensional cylinder-airfoil interactions with synchronization-theoretic autoencoder

Yuta Ushida, Daiki Beppu, Yuzuru Kato +1

Body-body interactions have long been investigated to leverage the performance of various fluid-based machines. This study analyzes the flow interaction between a cylinder and a NA…

quant-ph2026

Sparse identification of quantum Hamiltonian dynamics via quantum circuit learning

Yusei Tateyama, Yuzuru Kato

Sparse identification of nonlinear dynamics (SINDy) is a data-driven framework for estimating classical nonlinear dynamical systems from time-series data. In this approach, system…

math.OC2025

Equivalence of additive and parametric pinning control protocols for systems of weakly coupled oscillators

Riccardo Muolo, Yuzuru Kato

Controlling the behavior of nonlinear systems on networks is a paramount task in control theory, in particular the control of synchronization, given its vast applicability. In this…

nlin.AO2025

Data-driven phase control for limit-cycle oscillators under partial observation

Koichiro Yawata, Norihisa Namura, Yuzuru Kato +1

Controlling rhythmic systems, typically modeled as limit-cycle oscillators, is an important subject in real-world problems. Phase reduction theory, which simplifies the multidimens…

nlin.PS2025★ 1 cited

Synchronization of Dirac-Bianconi driven oscillators

Riccardo Muolo, Iván León, Yuzuru Kato +1

In dynamical systems on networks, one assigns the dynamics to nodes, which are then coupled via links. This approach does not account for group interactions and dynamics on links a…

nlin.AO2025★ 1 cited

Definition and data-driven reconstruction of asymptotic phase and amplitudes of stochastic oscillators via Koopman operator theory

Shohei Takata, Yuzuru Kato, Hiroya Nakao

Asymptotic phase and amplitudes are fundamental concepts in the analysis of limit-cycle oscillators. In this paper, we briefly review the definition of these quantities, particular…

nlin.AO2024★ 1 cited

Quantum spin van der Pol oscillator -- a spin-based limit-cycle oscillator exhibiting quantum synchronization

Yuzuru Kato, Hiroya Nakao

We introduce a quantum spin van der Pol (vdP) oscillator as a prototypical model of quantum spinbased limit-cycle oscillators, which coincides with the quantum optical vdP oscillat…

nlin.AO2024

Quantum asymptotic amplitude for quantum oscillatory systems from the Koopman operator viewpoint

Yuzuru Kato

We have recently proposed a fully quantum-mechanical definition of the asymptotic phase for quantum nonlinear oscillators, which is also applicable in the strong quantum regime [Ka…

nlin.CG2023

Dynamic mode decomposition for Koopman spectral analysis of elementary cellular automata

Keisuke Taga, Yuzuru Kato, Yoshihiro Yamazaki +2

We apply Dynamic Mode Decomposition (DMD) to Elementary Cellular Automata (ECA). Three types of DMD methods are considered and the reproducibility of the system dynamics and Koopma…

nlin.AO2023★ 7 cited

A definition of the asymptotic phase for quantum nonlinear oscillators from the Koopman operator viewpoint

Yuzuru Kato, Hiroya Nakao

We propose a definition of the asymptotic phase for quantum nonlinear oscillators from the viewpoint of the Koopman operator theory. The asymptotic phase is a fundamental quantity…

nlin.AO2022★ 13 cited

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…

nlin.AO2021★ 16 cited

Turing instability in quantum activator-inhibitor systems

Yuzuru Kato, Hiroya Nakao

Turing instability is a fundamental mechanism of nonequilibrium self-organization. However, despite the universality of its essential mechanism, Turing instability has thus far bee…

nlin.CD2021

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…

nlin.CG2021

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…

nlin.AO2021★ 30 cited

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…

nlin.AO2021★ 19 cited

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…

nlin.AO2020★ 5 cited

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…

nlin.AO2020★ 23 cited

Enhancement of quantum synchronization via continuous measurement and feedback control

Yuzuru Kato, Hiroya Nakao

We study synchronization of a quantum van der Pol oscillator with a harmonic drive and demonstrate that quantum synchronization can be enhanced by performing continuous homodyne me…

nlin.AO2020★ 22 cited

Quantum Coherence Resonance

Yuzuru Kato, Hiroya Nakao

It is shown that coherence resonance, a phenomenon in which regularity of noise-induced oscillations in nonlinear excitable systems is maximized at a certain optimal noise intensit…

nlin.AO2020★ 11 cited

Quantum asymptotic phase reveals signatures of quantum synchronization

Yuzuru Kato, Hiroya Nakao

Synchronization of quantum nonlinear oscillators has attracted much attention recently. To characterize the quantum oscillatory dynamics, we recently proposed a fully quantum-mecha…

nlin.AO2019★ 18 cited

Semiclassical optimization of entrainment stability and phase coherence in weakly forced quantum limit-cycle oscillators

Yuzuru Kato, Hiroya Nakao

Optimal entrainment of a quantum nonlinear oscillator to a periodically modulated weak harmonic drive is studied in the semiclassical regime. By using the semiclassical phase reduc…

nlin.AO2019★ 47 cited

Semiclassical Phase Reduction Theory for Quantum Synchronization

Yuzuru Kato, Naoki Yamamoto, Hiroya Nakao

We develop a general theoretical framework of semiclassical phase reduction for analyzing synchronization of quantum limit-cycle oscillators. The dynamics of quantum dissipative sy…

nlin.AO2019★ 15 cited

Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators

Nobuhiro Watanabe, Yuzuru Kato, Sho Shirasaka +1

Optimization of mutual synchronization between a pair of limit-cycle oscillators with weak symmetric coupling is considered in the framework of the phase reduction theory. By gener…

quant-ph2013★ 38 cited

Structure identification and state initialization of spin networks with limited access

Yuzuru Kato, Naoki Yamamoto

For reliable and consistent quantum information processing carried out on a quantum network, the network structure must be fully known and a desired initial state must be accuratel…