Yuzuru Kato, "Quantum asymptotic amplitude for quantum oscillatory systems from the Koopman operator viewpoint," arXiv:2403.19297 (2024). DOI: 10.48550/arXiv.2403.19297

Yusei Tateyama and Yuzuru Kato, "Sparse identification of quantum Hamiltonian dynamics via quantum circuit learning," New Journal of Physics 28, 084504 (2026). DOI: 10.1088/1367-2630/ae8e9f

 Riccardo Muolo, Iván León, Yuzuru Kato, and Hiroya Nakao, "Synchronization of Dirac–Bianconi driven oscillators," Journal of Physics A: Mathematical and Theoretical 59, 095201 (2026). DOI: 10.1088/1751-8121/ae442f

Yuzuru Kato and Hiroya Nakao, "Quantum spin van der Pol oscillator: Spin-based limit-cycle oscillator exhibiting quantum synchronization," Physical Review Research 7, 043133 (2025). DOI: 10.1103/mfvy-bbzm

Jinjie Zhu, Yuzuru Kato, and Hiroya Nakao, "Complex synchronization transitions in globally coupled excitable systems with noise-induced coherent oscillations," Communications Physics 8, 146 (2025). DOI: 10.1038/s42005-025-02082-5

Keisuke Taga, Yuzuru Kato, Yoshihiro Yamazaki, Yoshinobu Kawahara, and Hiroya Nakao, "Dynamic mode decomposition for Koopman spectral analysis of elementary cellular automata," Chaos 34, 013125 (2024). DOI: 10.1063/5.0159069

Yuzuru Kato and Hiroya Nakao, "Quantum asymptotic phases reveal signatures of quantum synchronization," New Journal of Physics 25, 023012 (2023). DOI: 10.1088/1367-2630/acb6e8

Yuzuru Kato and Hiroya Nakao, "Turing instability in quantum activator-inhibitor systems," Scientific Reports 12, 15573 (2022). DOI: 10.1038/s41598-022-19010-0

Yuzuru Kato and Hiroya Nakao, "A definition of the asymptotic phase for quantum nonlinear oscillators from the Koopman operator viewpoint," Chaos 32, 063133 (2022). (Featured article) DOI: 10.1063/5.0088559

Jinjie Zhu, Yuzuru Kato, and Hiroya Nakao, "Phase dynamics of noise-induced coherent oscillations in excitable systems," Physical Review Research 4, L022041 (2022). DOI: 10.1103/PhysRevResearch.4.L022041

Keisuke Taga, Yuzuru Kato, Yoshinobu Kawahara, Yoshihiro Yamazaki, and Hiroya Nakao, "Koopman spectral analysis of elementary cellular automata," Chaos 31, 103121 (2021). DOI: 10.1063/5.0059202

Yuzuru Kato, Jinjie Zhu, Wataru Kurebayashi, and Hiroya Nakao, "Asymptotic phase and amplitude for classical and semiclassical stochastic oscillators via Koopman operator theory," Mathematics 9, 2188 (2021). DOI: 10.3390/math9182188

Shohei Takata, Yuzuru Kato, and Hiroya Nakao, "Fast optimal entrainment of limit-cycle oscillators by strong periodic inputs via phase-amplitude reduction and Floquet theory," Chaos 31, 093124 (2021). DOI: 10.1063/5.0054603

Yuzuru Kato, Anatoly Zlotnik, Jr-Shin Li, and Hiroya Nakao, "Optimization of periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators," Nonlinear Dynamics 105, 2247–2263 (2021). DOI: 10.1007/s11071-021-06703-w

Yuzuru Kato and Hiroya Nakao, "Quantum coherence resonance," New Journal of Physics 23, 043018 (2021). DOI: 10.1088/1367-2630/abf1d7

Yuzuru Kato and Hiroya Nakao, "Instantaneous phase synchronization of two decoupled quantum limit-cycle oscillators induced by conditional photon detection," Physical Review Research 3, 013085 (2021). DOI: 10.1103/PhysRevResearch.3.013085

Yuzuru Kato and Hiroya Nakao, "Enhancement of quantum synchronization via continuous measurement and feedback control," New Journal of Physics 23, 013007 (2021). DOI: 10.1088/1367-2630/abd7be

Yuzuru Kato and Hiroya Nakao, "Semiclassical optimization of entrainment stability and phase coherence in weakly forced quantum limit-cycle oscillators," Physical Review E 101, 012210 (2020). DOI: 10.1103/PhysRevE.101.012210

Yuzuru Kato, Naoki Yamamoto, and Hiroya Nakao, "Semiclassical phase reduction theory for quantum synchronization," Physical Review Research 1, 033012 (2019). DOI: 10.1103/PhysRevResearch.1.033012

 Nobuhiro Watanabe, Yuzuru Kato, Sho Shirasaka, and Hiroya Nakao, "Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators," Physical Review E 100, 042205 (2019). DOI: 10.1103/PhysRevE.100.042205

Yuzuru Kato and Naoki Yamamoto, "Structure identification and state initialization of spin network with limited access," New Journal of Physics 16, 023024 (2014). DOI: 10.1088/1367-2630/16/2/023024

Riccardo Muolo and Yuzuru Kato, "Equivalence of additive and parametric pinning control protocols for systems of weakly coupled oscillators," 2026 SICE International Symposium on Control Systems (SICE ISCS), Toyama, Japan, March 2026. DOI: 10.23919/SICEISCS67856.2026.11524551

Koichiro Yawata, Norihisa Namura, Yuzuru Kato, and Hiroya Nakao, "Data-driven phase control for limit-cycle oscillators under partial observation," The 64th IEEE Conference on Decision and Control (CDC), Rio de Janeiro, Brazil, December 2025, pp. 381–386. DOI: 10.1109/CDC57313.2025.11312246

Yusei Tateyama and Yuzuru Kato, "SINDy-inspired data-driven sparse identification of quantum Hamiltonian dynamics using quantum circuit learning," NOLTA2025, Okinawa, Japan, October 2025.

Sotaro Kuroiwa and Yuzuru Kato, "Optimization of higher-order interactions of synchronization between three coupled collective oscillatory networks," NOLTA2025, Okinawa, Japan, October 2025.

Sotaro Kuroiwa and Yuzuru Kato, "Optimization of higher-order coupling structures for synchronization between three collectively oscillating networks," Conference on Complex Systems 2025, Siena, Italy, September 2025. [P]

Riccardo Muolo, Iván León, Yuzuru Kato, and Hiroya Nakao, "Modeling node- and edge-signals via Dirac–Bianconi driven oscillators," CoBrain, Satellite of Conference on Complex Systems, Siena, Italy, September 2025.

Sotaro Kuroiwa and Yuzuru Kato, "Optimizing higher-order coupling for synchronization among three collectively oscillatory networks," 11th International Conference on Engineering of Chemical Complexity (ECC11), Tokyo, Japan, July–August 2025. [P]

Yusei Tateyama and Yuzuru Kato, "Quantum circuit learning for sparse identification of quantum Hamiltonian dynamics," IEEE International Conference on Quantum Control, Computing and Learning (qCCL) 2025, Hong Kong, June 2025, pp. 52–57. DOI: 10.1109/qCCL65142.2025.11158935 

Reiji Ota, Yuzuru Kato, and Yuichi Katori, "Reservoir computing with hysteretic oscillators: Exploring the effects of bifurcation on performance," BFBC2025, Sendai, Japan, February 2025. [P]

Reiji Ota, Yuzuru Kato, and Yuichi Katori, "Evaluation of hysteresis effects in coupled oscillators for reservoir computing," NOLTA2024, Ha Long Bay, Vietnam, December 2024.

Reiji Ota, Yuzuru Kato, and Yuichi Katori, "Hysteretic oscillator-based reservoir computing for audio waveform pattern recognition," 2024 International Joint Conference on Neural Networks (IJCNN), Yokohama, Japan, July 2024. [P] DOI: 10.1109/IJCNN60899.2024.10651003

Yuzuru Kato, "A definition of quantum asymptotic phase function for analyzing quantum synchronization from the Koopman operator viewpoint," Dynamics Days Asia Pacific 13, Kyoto, Japan, July 2024. [P]

Yuzuru Kato and Hiroya Nakao, "Dynamical mode decomposition for infinite-dimensional open quantum systems; Liouvillian spectral analysis and parameter estimation," The 62nd IEEE Conference on Decision and Control (CDC), Singapore, December 2023, pp. 5912–5919. DOI: 10.1109/CDC49753.2023.10384111  

 Yuzuru Kato and Hiroya Nakao, "Turing instability in quantum activator-inhibitor systems," Dynamics Days Europe 2023, Naples, Italy, September 2023.

Yuzuru Kato and Hiroya Nakao, "Quantum asymptotic phase function on the basis of Koopman operator theory," ICIAM 2023, Tokyo, Japan, August 2023.

Shohei Takata, Yuzuru Kato, and Hiroya Nakao (presenter), "Data-driven reconstruction of asymptotic phase and amplitude functions of stochastic oscillators using extended dynamic mode decomposition," 2023 IUTAM Symposium on Nonlinear Dynamics for Design of Mechanical Systems Across Different Length/Time Scales, Tsukuba, Japan, August 2023. (Proceedings: Shohei Takata, Yuzuru Kato, and Hiroya Nakao (2025). Definition and Data-Driven Reconstruction of Asymptotic Phase and Amplitudes of Stochastic Oscillators via Koopman Operator Theory. IUTAM Book Series, Vol. 43, pp. 141–153, Springer, Cham. DOI: 10.1007/978-3-031-72794-8_10)

Yuzuru Kato and Hiroya Nakao, "Turing instability of activator-inhibitor units in open quantum systems," APS March Meeting 2023, USA (Virtual), March 2023. 

Yuzuru Kato and Hiroya Nakao, "Asymptotic phase for stochastic and quantum nonlinear oscillators based on Koopman operator theory," NOLTA2022, Japan (Virtual), December 2022.

Yuzuru Kato and Hiroya Nakao, "Data-driven spectral analysis of quantum spin networks with limited access using Hankel dynamic mode decomposition," The 61st IEEE Conference on Decision and Control (CDC), Cancún, Mexico, December 2022, pp. 5141–5148. DOI: 10.1109/CDC51059.2022.9993116

Shohei Takata, Yuzuru Kato (presenter), and Hiroya Nakao, "Reconstruction of asymptotic phase and amplitude functions from time series of stochastic oscillatory systems by extended dynamic mode decomposition," SICE2022, Kumamoto, Japan, September 2022.

Jinjie Zhu, Yuzuru Kato (presenter), and Hiroya Nakao, "Construction and application of phase reduction in coherent excitable systems," Dynamics Days Europe 2022, Aberdeen, Scotland, August 2022.

Yuzuru Kato and Hiroya Nakao, "Optimization of weak periodic input waveforms for global entrainment of limit-cycle oscillators," Dynamics Days Europe 2022, Aberdeen, Scotland, August 2022. [P]

Daimo Yoshikawa, Ivan Grytsenko, Yuzuru Kato, Oleksiy Rybalko, Hiroya Nakao, Naoki Yamamoto, Denis Konstantinov, and Erika Kawakami, "Cryogenic tunnel-diode oscillator for qubit read-out," 29th International Conference on Low Temperature Physics, Japan, August 2022.

Shohei Takata, Yuzuru Kato, and Hiroya Nakao, "Fast optimal entrainment of limit-cycle oscillators by strong periodic inputs via phase-amplitude reduction," APS March Meeting 2022, USA (Virtual), March 2022.

Jinjie Zhu, Yuzuru Kato, and Hiroya Nakao, "Phase reduction theory of coherent excitable systems," APS March Meeting 2022, USA (Virtual), March 2022.  

Yuzuru Kato and Hiroya Nakao, "Coherence resonance in open quantum systems," APS March Meeting 2022, USA (Virtual), March 2022. 

Yuzuru Kato and Hiroya Nakao, "Optimization of periodic input waveforms for phase distribution control of weakly forced limit-cycle oscillators," SICE 2021 (Virtual), September 2021.

Yuzuru Kato, Jinjie Zhu, and Hiroya Nakao, "Koopman operator and phase and amplitude functions for stochastic oscillators," Dynamics Days Europe 2021, Nice, France (Hybrid), August 2021. 

Yuzuru Kato and Hiroya Nakao, "Asymptotic phase of classical and quantum nonlinear oscillators from the Koopman operator viewpoint," SIAM Conference on Applications of Dynamical Systems, Oregon, USA (Virtual), May 2021.

Yuzuru Kato and Hiroya Nakao, "Asymptotic phase function for quantum nonlinear oscillators reveals signatures of quantum synchronization," APS March Meeting 2021, USA (Virtual), March 2021.

Yuzuru Kato and Hiroya Nakao, "Continuous measurement and feedback control for enhancement of quantum synchronization," The 59th IEEE Conference on Decision and Control (CDC), Jeju Island, Republic of Korea (Virtual), December 2020, pp. 3848–3854. DOI: 10.1109/CDC42340.2020.9303870

Yuzuru Kato and Hiroya Nakao, "Optimal waveform for fast entrainment of weakly forced quantum nonlinear dissipative oscillators," The 58th IEEE Conference on Decision and Control (CDC), Nice, France, December 2019, pp. 1351–1356. DOI: 10.1109/CDC40024.2019.9030256 

Yuzuru Kato and Hiroya Nakao, "Semiclassical phase reduction theory for quantum dissipative nonlinear oscillators," APS March Meeting 2019, Boston, USA, March 2019. 

Yuzuru Kato and Naoki Yamamoto, "Estimation and initialization of quantum network via continuous measurement on single node," The 52nd IEEE Conference on Decision and Control (CDC), Florence, Italy, December 2013, pp. 1904–1909. DOI: 10.1109/CDC.2013.6760160

Yuzuru Kato and Naoki Yamamoto, "Estimation of quantum network via continuous measurement on single node," The 12th Asia Pacific Physics Conference, Chiba, Japan, July 2013. [P]

Yuzuru Kato,"Turing instability in quantum activator-inhibitor systems" International Workshop onDiscrete & Continuous Aspects of Reaction-Diffusion in Pattern Formation (DiCoRD2026), MeijiUniversity, Nakano Campus, Tokyo, Japan, July 2026.

Yuzuru Kato, "Analysis of quantum nonlinear oscillators on the basis of Koopman operator theory," Perspectives and Applications of Koopman Operator Theory, RIKEN iTHEMS, Saitama, Japan, March 2026.

 Yuzuru Kato, "Phase dynamics approach for quantum limit-cycle oscillations and synchronization," International Workshop: Limit Cycles and Synchronization Go Quantum (QSync25), Max Planck Institute for the Physics of Complex Systems, Dresden, Germany, June–July 2025.

Yuzuru Kato, "Phase dynamics approach to quantum synchronization," University of Florence, Italy, December 2024.

Yuzuru Kato, "Quantum nonlinear oscillations and quantum synchronization in open quantum systems," Nanjing University of Aeronautics and Astronautics, China, November 2024.

Yuzuru Kato, "Quantum synchronization: Phase model-based analysis and control," The 62nd IEEE Conference on Decision and Control, Workshop: Systems Theory of Ensembles: Fundamentals, Learning, and Applications, Marina Bay Sands, Singapore, December 2023.

Yuzuru Kato, "Semiclassical phase reduction theory for quantum synchronization," CQS Brown Bag Meeting, Center for Quantum Sensors, Washington University in St. Louis, USA, November 2019.