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Suppressing spiral waves in a lattice array of coupled neurons using delayed asymmetric synapse coupling

Author

Listed:
  • Rajagopal, Karthikeyan
  • Jafari, Sajad
  • Li, Chunbiao
  • Karthikeyan, Anitha
  • Duraisamy, Prakash

Abstract

The coupling between neuronal oscillator plays a significant role in their network performance. When the coupling is asymmetric in an electrical synapse connection, the entire dynamical behaviour of the neuron model changes. Such asymmetric synapse coupling on neuron models exposed to magnetic flux induction will display more complex behaviours. Hence, we propose a coupled neuron model considering flux coupling with asymmetric electrical synapse. The various dynamical properties of the coupled neuron model are explored by considering the coupling coefficients and flux coupling constant as the control parameters. The coexistence of at least chaotic with chaotic or chaotic with periodic or periodic with periodic firing patterns are identified in the new model for different values of coupling strengths. Such coexisting firing patters are also seen for discrete values of the flux coupling coefficient. The investigation is expanded further to the network performance of such coupled neurons considering the coupling coefficient as the parameter of discussion. A simple applied plane wave is disturbed and rotating spiral waves are formed in the network for different values of the coupling strength. We have shown that by introducing magnetic flux coupling into the neuron model, we could suppress the spiral waves in the network. As an alternative by considering a coupled neuron model without flux coupling and with delayed asymmetric electrical synapse coupling, we showed that the spiral waves are completely suppressed effectively for selected values of delay. Using delayed coupling comparatively more effective than flux coupling for supressing spiral waves in the network.

Suggested Citation

  • Rajagopal, Karthikeyan & Jafari, Sajad & Li, Chunbiao & Karthikeyan, Anitha & Duraisamy, Prakash, 2021. "Suppressing spiral waves in a lattice array of coupled neurons using delayed asymmetric synapse coupling," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    • Handle: RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921002083
    DOI: 10.1016/j.chaos.2021.110855
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    References listed on IDEAS

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    1. Rajagopal, Karthikeyan & Hussain, Iqtadar & Rostami, Zahra & Li, Chunbiao & Pham, Viet-Thanh & Jafari, Sajad, 2021. "Magnetic induction can control the effect of external electrical stimuli on the spiral wave," Applied Mathematics and Computation, Elsevier, vol. 390(C).
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    1. Prasina, A. & Pandi, V. Samuthira & Nancy, W. & Thilagam, K. & Veena, K. & Muniyappan, A., 2025. "Synchronization and chimeras in asymmetrically coupled memristive Tabu learning neuron network," Applied Mathematics and Computation, Elsevier, vol. 489(C).
    2. 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).
    3. El-Nabulsi, Rami Ahmad & Anukool, Waranont, 2024. "Spiral waves in fractal dimensions and their elimination in λ − ω systems with less damaging intervention," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    4. Qu, Lianghui & Du, Lin & Zhang, Honghui & Deng, Zichen, 2026. "Constrained drift and splitting transition of electromagnetically regulated spiral waves," Chaos, Solitons & Fractals, Elsevier, vol. 204(C).
    5. Zhou, Ping & Ma, Jun & Xu, Ying, 2023. "Phase synchronization between neurons under nonlinear coupling via hybrid synapse," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    6. Leutcho, Gervais Dolvis & Gandubert, Gabriel & Woodward, Lyne & Blanchard, François, 2025. "Electric-field-biased control of irregular oscillations via multistability in a nonlinear terahertz meta-atom," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    7. Abirami Karunanidhi & Mohanasubha Ramasamy & Ruby V. Chithiika & Karthikeyan Rajagopal, 2025. "Asymmetric coupling and nonlinear resonance in coupled anharmonic oscillators," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 98(7), pages 1-13, July.

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