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

被引:0
|
作者
Jinjie Zhu [1 ]
Yuzuru Kato [2 ]
Hiroya Nakao [3 ]
机构
[1] College of Aerospace Engineering,State Key Laboratory of Mechanics and Control for Aerospace Structures
[2] Nanjing University of Aeronautics and Astronautics,Department of Systems and Control Engineering
[3] Institute of Science Tokyo,Department of Complex and Intelligent Systems
[4] Future University Hakodate,undefined
关键词
D O I
10.1038/s42005-025-02082-5
中图分类号
学科分类号
摘要
Noise can induce coherent oscillations in excitable systems without deterministic limit cycles. Though synchronization between a pair of such coherent excitable systems has been studied, collective synchronization transitions in large populations of coherent excitable systems remain yet to be uncovered. In this paper, collective synchronization dynamics of globally coupled coherent excitable systems exhibiting self-induced stochastic resonance are investigated. Five synchronization stages with distinct collective dynamics of different symmetries are revealed. The effective phase equation and corresponding nonlinear Fokker-Planck equation are established to reproduce the collective synchronization dynamics. By introducing the effect of phase-dependent noise, the full scenario of synchronization stages can be described. These results provide insight into the collective behaviors of noise-induced coherent oscillators in biological systems.
引用
收藏
相关论文
共 50 条
  • [31] Generalized synchronization and noise-induced synchronization: The same type of behavior of coupled chaotic systems
    Koronovskii, A. A.
    Moskalenko, O. I.
    Trubetskov, D. I.
    Khramov, A. E.
    DOKLADY PHYSICS, 2006, 51 (04) : 189 - 192
  • [32] Generalized synchronization and noise-induced synchronization: The same type of behavior of coupled chaotic systems
    A. A. Koronovskiĭ
    O. I. Moskalenko
    D. I. Trubetskov
    A. E. Khramov
    Doklady Physics, 2006, 51 : 189 - 192
  • [33] Noise-Driven Oscillations in Coupled Excitable Systems
    Orr, Derek
    Ermentrout, G. Bard
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2021, 20 (02): : 826 - 852
  • [34] Noise induced complexity: From subthreshold oscillations to spiking in coupled excitable systems
    Zaks, MA
    Sailer, X
    Schimansky-Geier, L
    Neiman, AB
    CHAOS, 2005, 15 (02)
  • [35] Learning-induced synchronization of a globally coupled excitable map system
    Hayakawa, Y
    Sawada, Y
    PHYSICAL REVIEW E, 2000, 61 (05): : 5091 - 5097
  • [36] Stochastic synchronization and the growth in regularity of the noise-induced oscillations
    D. É. Postnov
    D. V. Setsinskii
    O. V. Sosnovtseva
    Technical Physics Letters, 2001, 27 : 463 - 466
  • [37] Synchronization of multi-frequency noise-induced oscillations
    Astakhov, Sergey
    Feoktistov, Alexey
    Anishchenko, Vadim S.
    Kurths, Juergen
    CHAOS, 2011, 21 (04)
  • [38] Stochastic synchronization and the growth in regularity of the noise-induced oscillations
    Postnov, DÉ
    Setsinskii, DV
    Sosnovtseva, OV
    TECHNICAL PHYSICS LETTERS, 2001, 27 (06) : 463 - 466
  • [39] Learning-induced synchronization of a globally coupled excitable map system
    Hayakawa, Yoshinori
    Sawada, Yasuji
    2000, American Physical Society (61):
  • [40] Approximate analytic solutions for noise-induced coherent oscillations in autonomous nonlinear systems
    Plata, J
    PHYSICAL REVIEW E, 1997, 56 (06): : 6516 - 6523