IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v189y2024ip1s0960077924012335.html
   My bibliography  Save this article

Spiral wave chimeras in nonlocally coupled excitable FitzHugh–Nagumo neurons

Author

Listed:
  • Li, Yang
  • Li, Haihong
  • Gao, Shun
  • Chen, Yirui
  • Dai, Qionglin
  • Yang, Junzhong

Abstract

Chimera states in excitable systems have received extensive attention in recent years. However, the spiral wave chimera in a two-dimensional excitable system has not been observed yet. In this study, we investigate spiral wave chimeras in two-dimensional nonlocally coupled excitable FitzHugh–Nagumo neurons. Depending on the relative coupling radius and the coupling phase, we find spiral wave chimeras numerically. We also find a novel spiral wave pattern, the spiral wave amplitude death chimera, characterized by a non-excited core. By exploring the phase diagram of different spiral wave chimera dynamics, we find the transition between spiral wave chimeras with an incoherent core and spiral wave amplitude death chimeras with a non-excited core when the coupling phase crosses π/2. We also find that large a (the parameter in the FitzHugh–Nagumo neuron) favors the spiral wave amplitude death chimera.

Suggested Citation

  • Li, Yang & Li, Haihong & Gao, Shun & Chen, Yirui & Dai, Qionglin & Yang, Junzhong, 2024. "Spiral wave chimeras in nonlocally coupled excitable FitzHugh–Nagumo neurons," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    • Handle: RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924012335
    DOI: 10.1016/j.chaos.2024.115681
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924012335
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115681?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Khatun, Taniya & Banerjee, Tanmoy, 2023. "Genesis of chimera patterns through self-induced stochastic resonance," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Niels C Rattenborg & Bryson Voirin & Sebastian M. Cruz & Ryan Tisdale & Giacomo Dell’Omo & Hans-Peter Lipp & Martin Wikelski & Alexei L. Vyssotski, 2016. "Evidence that birds sleep in mid-flight," Nature Communications, Nature, vol. 7(1), pages 1-9, November.
    3. Guo, Shuangjian & Dai, Qionglin & Cheng, Hongyan & Li, Haihong & Xie, Fagen & Yang, Junzhong, 2018. "Spiral wave chimera in two-dimensional nonlocally coupled Fitzhugh–Nagumo systems," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 394-399.
    4. Riccardo Muolo & Joseph D. O’Brien & Timoteo Carletti & Malbor Asllani, 2024. "Persistence of chimera states and the challenge for synchronization in real-world networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(1), pages 1-16, January.
    5. García-Morales, Vladimir & Manzanares, José A. & Krischer, Katharina, 2022. "Chimera states under genuine local coupling," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fateev, I. & Polezhaev, A., 2024. "Chimera states in a lattice of superdiffusively coupled neurons," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    2. Luo, Hao-jie & Xue, Yu & Huang, Mu-yang & Zhang, Qiang & Zhang, Kun, 2024. "Pattern and waves on 2D-Kuramoto model with many-body interactions," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    3. Lazarides, N. & Hizanidis, J. & Tsironis, G.P., 2020. "Controlled generation of chimera states in SQUID metasurfaces using DC flux gradients," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    4. Ngueuteu Mbouna, S.G. & Banerjee, Tanmoy & Yamapi, René & Woafo, Paul, 2022. "Diverse chimera and symmetry-breaking patterns induced by fractional derivation effect in a network of Stuart-Landau oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    5. Nganso, E. Njinkeu & Mbouna, S.G. Ngueuteu & Yamapi, R. & Filatrella, G. & Kurths, J., 2023. "Two-attractor chimera and solitary states in a network of nonlocally coupled birhythmic van der Pol oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    6. Zhang, Yiling & Yuan, Guoyong & Liu, Jun & Shi, Jifang & Wang, Guangrui & Chen, Shaoying, 2023. "Spiral dynamics in oscillatory bilayer systems with an inhomogeneous inter-layer coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    7. Yuan, Guoyong & Liu, Pengwei & Shi, Jifang & Wang, Guangrui, 2023. "Dynamics and control of spiral waves under feedback derived from a moving measuring point," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    8. Li, Qian & Lei, Youming, 2024. "Vibration-resonance chimeras in coupled excitable systems with heterogeneous aperiodic excitations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 654(C).
    9. Rybalova, E. & Averyanov, V. & Lozi, R. & Strelkova, G., 2024. "Peculiarities of the spatio-temporal dynamics of a Hénon–Lozi map network in the presence of Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    10. A.V., Bukh & V.S., Anishchenko, 2020. "Spiral and target wave chimeras in a 2D network of nonlocally coupled van der Pol oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    11. Cabanas, A.M. & Vélez, J.A. & Pérez, L.M. & Díaz, P. & Clerc, M.G. & Laroze, D. & Malomed, B.A., 2021. "Dissipative structures in a parametrically driven dissipative lattice: Chimera, localized disorder, continuous-wave, and staggered states," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924012335. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.