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Phase dynamics of noise-induced coherent oscillations in excitable systems

Jinjie Zhu1,2,*, Yuzuru Kato3, and Hiroya Nakao2,†

  • 1School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
  • 2Department of Systems and Control Engineering, Tokyo Institute of Technology, Tokyo 152-8552, Japan
  • 3Department of Complex and Intelligent Systems, Future University Hakodate, Hokkaido 041-8655, Japan

  • *zhu.j.ag@m.titech.ac.jp
  • †nakao@sc.e.titech.ac.jp

Coherence-incoherence patterns in coupled excitable systems

Igor Franović, Sebastian Eydam, Jinjie Zhu, Nadezhda Semenova, Frederico P. Costa, and Eckehard Schöll

Physics of Life Reviews 58 283 (2026)

Synchronization of Dirac–Bianconi driven oscillators

Riccardo Muolo, Iván León, Yuzuru Kato, and Hiroya Nakao

J. Phys. A: Math. Theor. 59 095201 (2026)

Optimal interaction functions realizing higher-order Kuramoto dynamics with arbitrary limit-cycle oscillators

Norihisa Namura, Riccardo Muolo, and Hiroya Nakao

Chaos: An Interdisciplinary Journal of Nonlinear Science 36 023120 (2026)

Generalized dynamical phase reduction for stochastic oscillators

Pierre Houzelstein, Peter J. Thomas, Benjamin Lindner, Boris Gutkin, and Alberto Pérez-Cervera

Phys. Rev. Research 7 033052 (2025)

Complex synchronization transitions in globally coupled excitable systems with noise-induced coherent oscillations

Jinjie Zhu, Yuzuru Kato, and Hiroya Nakao

Commun Phys 8 146 (2025)

Quenched disorder-induced chaotic resonance: Optimal stimulus response near the edge of chaos

Cong Liu, Zhi-Xi Wu, and Jian-Yue Guan

Phys. Rev. Research 6 L042019 (2024)

Reduced-order dynamics of coupled self-induced stochastic resonance quasiperiodic oscillators driven by varying noise intensities

Jinjie Zhu, Feng Zhao, and Xianbin Liu

Nonlinear Dyn 112 17671 (2024)

Embedding phase reduction for fast-slow systems with noise-induced stochastic quasiperiodic orbits

Jinjie Zhu

Applied Mathematics and Computation 465 128422 (2024)

Self-induced-stochastic-resonance breathing chimeras

Jinjie Zhu and Marius E. Yamakou

Phys. Rev. E 108 L022204 (2023)

Enhancement of white-noise-induced temporal regularity in a linear-optical system using coherent feedback

Bixuan Fan, Xiaomei Wu, and Zhenglu Duan

Phys. Rev. A 107 023708 (2023)

Spatial Effects of Phase Dynamics on Oscillators Close to Bifurcation

Yihan Wang and Jinjie Zhu

Mathematics 11 2573 (2023)

Analytical phase reduction for weakly nonlinear oscillators

Iván León and Hiroya Nakao

Chaos, Solitons & Fractals 176 114117 (2023)

Noise-tuned bursting in a Hedgehog burster

Jinjie Zhu and Hiroya Nakao

Front. Comput. Neurosci. 16 970643 (2022)

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