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Firing patterns of Izhikevich neuron model under electric field and its synchronization patterns

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Abstract

Recently, the researches have focused on the models that can simulate all the internal and external activities of neurons. The exchange of ions such as calcium, sodium, and potassium across the cell membrane induces a time-varying magnetic field, resulting in the construction of an electric field. This paper proposes an improved neuron model by considering the electric field in the Izhikevich neuron model. The model dynamics are investigated through spiking patterns and bifurcation diagrams for different parameters, such as amplitude and frequency of electric field, the electric field intensity, and the polarization of neurons. Furthermore, the behavior of the coupled improved neurons with electric field is under consideration. Different synchronization patterns such as the chimera state and the imperfect synchronization are observed by varying the parameters. Computing the global order parameters shows that the existence of the electric field leads to complete synchronization in stronger coupling coefficients.

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Acknowledgements

This work is funded by the Center for Nonlinear Systems, Chennai Institute of Technology, India vide funding number CIT/CNS/2022/RD/006, the Natural Science Foundation of China (Nos. 61901530, 62071496, 62061008) and the Natural Science Foundation of Hunan Province (No. 2020JJ5767).

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Authors and Affiliations

  1. Department of Computer Science Engineering, Chennai Institute of Technology, Chennai, India

    Gayathri Vivekanandhan

  2. Electrical Engineering Department, Salahaddin University-Erbil, Kirkuk Rd., Erbil, Kurdistan, Iraq

    Ibrahim Ismael Hamarash

  3. School of Computer Science and Engineering, University of Kurdistan Hewler, 40m St., Erbil, Kurdistan, Iraq

    Ibrahim Ismael Hamarash

  4. Department of Electronics Techniques, Babylon Technical Institute, Al-Furat Al-Awsat Technical University, Babylon, 51001, Iraq

    Ahmed M. Ali Ali

  5. School of Physics and Electronics, Central South University, Changsha, 410083, China

    Shaobo He & Kehui Sun

Authors
  1. Gayathri Vivekanandhan
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  2. Ibrahim Ismael Hamarash
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  3. Ahmed M. Ali Ali
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  4. Shaobo He
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  5. Kehui Sun
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Correspondence to Shaobo He.

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Vivekanandhan, G., Hamarash, I.I., Ali Ali, A.M. et al. Firing patterns of Izhikevich neuron model under electric field and its synchronization patterns. Eur. Phys. J. Spec. Top. 231, 4017–4023 (2022). https://doi.org/10.1140/epjs/s11734-022-00636-0

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  • DOI: https://doi.org/10.1140/epjs/s11734-022-00636-0

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