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Spiral wave chimera in two-dimensional nonlocally coupled Fitzhugh–Nagumo systems

Author

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  • Guo, Shuangjian
  • Dai, Qionglin
  • Cheng, Hongyan
  • Li, Haihong
  • Xie, Fagen
  • Yang, Junzhong

Abstract

Spiral wave chimeras with spatially extended unsynchronized cores have been reported in nonlocally coupled phase oscillators and chaotic oscillators. Here, we investigate the two-dimensional nonlocally coupled FitzHugh–Nagumo oscillators with open boundary conditions. Rich dynamics of spiral wave chimeras is discovered numerically. Besides outwardly propagating and inwardly propagating single-spiral wave chimeras, we find the double-spiral wave chimera with two spiral chimeras rotating with each other and the breakup of spiral wave chimeras. We also find a transition between a normal spiral wave with a phase singularity at its center and spiral wave chimera.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:114:y:2018:i:c:p:394-399
    DOI: 10.1016/j.chaos.2018.07.029
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    Cited by:

    1. 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).
    2. 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).
    3. 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).
    4. 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).
    5. 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).
    6. Fateev, I. & Polezhaev, A., 2024. "Chimera states in a lattice of superdiffusively coupled neurons," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    7. 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).

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