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Dynamical behaviors and firing patterns in a fully memory-element emulator-based bionic circuit

Author

Listed:
  • Ding, Xincheng
  • Fan, Weiwei
  • Wang, Ning
  • Su, Yuanhui
  • Chen, Mo
  • Lin, Yuan
  • Xu, Quan

Abstract

Memory-element-based bionic circuits can well characterize the electrophysiological behavior of a biological neuron and generate abundant neuron-like firing patterns. This paper deploys a charge-controlled memcapacitor, a voltage-controlled locally active memristor (LAM) with one DC voltage bias, a flux-controlled meminductor, and a sinusoidal stimulus to respectively characterize the neuronal membrane, ion channel, electromagnetic induction, and external stimulus, thereby a fully memory-element emulator-based bionic circuit is constructed. Numerical simulations demonstrate that the bionic circuit achieves diverse pattern transition behaviors through the forward/reverse period-doubling bifurcation routes, tangent bifurcation, and chaos crisis for the circuit parameters, which trigger diverse firing patterns, e.g., periodic and chaotic spiking activities. Besides, a hardware circuit using discrete components is successfully synthesized by memory-element emulators, and experimental measurements are carried out to support the numerical results and demonstrate the capability of the bionic circuit to produce neuron-like firing patterns.

Suggested Citation

  • Ding, Xincheng & Fan, Weiwei & Wang, Ning & Su, Yuanhui & Chen, Mo & Lin, Yuan & Xu, Quan, 2025. "Dynamical behaviors and firing patterns in a fully memory-element emulator-based bionic circuit," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p1:s096007792500671x
    DOI: 10.1016/j.chaos.2025.116658
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    References listed on IDEAS

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    1. Kafraj, Mohadeseh Shafiei & Parastesh, Fatemeh & Jafari, Sajad, 2020. "Firing patterns of an improved Izhikevich neuron model under the effect of electromagnetic induction and noise," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    2. Sharma, Sanjeev Kumar & Mondal, Arnab & Mondal, Argha & Aziz-Alaoui, M.A. & Upadhyay, Ranjit Kumar & Ma, Jun, 2022. "Emergence of Canard induced mixed mode oscillations in a slow–fast dynamics of a biophysical excitable model," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    3. Chen, Lianyu & Muthukumar, Deivasundari & Natiq, Hayder & Mehrabbeik, Mahtab & Lei, Tengfei & Jafari, Sajad, 2025. "Relay synchronization in a multiplex memristive neuronal network with electrical and field couplings," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).
    4. Lai, Qiang & Lai, Cong & Zhang, Hui & Li, Chunbiao, 2022. "Hidden coexisting hyperchaos of new memristive neuron model and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    5. Joseph S. Najem & Md Sakib Hasan & R. Stanley Williams & Ryan J. Weiss & Garrett S. Rose & Graham J. Taylor & Stephen A. Sarles & C. Patrick Collier, 2019. "Author Correction: Dynamical nonlinear memory capacitance in biomimetic membranes," Nature Communications, Nature, vol. 10(1), pages 1-1, December.
    6. Zhongrui Wang & Mingyi Rao & Jin-Woo Han & Jiaming Zhang & Peng Lin & Yunning Li & Can Li & Wenhao Song & Shiva Asapu & Rivu Midya & Ye Zhuo & Hao Jiang & Jung Ho Yoon & Navnidhi Kumar Upadhyay & Saum, 2018. "Capacitive neural network with neuro-transistors," Nature Communications, Nature, vol. 9(1), pages 1-10, December.
    7. Xu, Quan & Ding, Xincheng & Wang, Ning & Chen, Bei & Parastesh, Fatemeh & Chen, Mo, 2024. "Spiking activity in a memcapacitive and memristive emulator-based bionic circuit," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    8. I.B., Tagne nkounga & F.M., Moukam kakmeni & R., Yamapi, 2022. "Birhythmic oscillations and global stability analysis of a conductance-based neuronal model under ion channel fluctuations," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    9. Wan, Qiuzhen & Li, Fei & Chen, Simiao & Yang, Qiao, 2023. "Symmetric multi-scroll attractors in magnetized Hopfield neural network under pulse controlled memristor and pulse current stimulation," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    10. Joseph S. Najem & Md Sakib Hasan & R. Stanley Williams & Ryan J. Weiss & Garrett S. Rose & Graham J. Taylor & Stephen A. Sarles & C. Patrick Collier, 2019. "Dynamical nonlinear memory capacitance in biomimetic membranes," Nature Communications, Nature, vol. 10(1), pages 1-11, December.
    11. Mao, Yidan & Dong, Yujiao & Lu, Zhenzhou & Xiang, Chenyang & Wang, Jinqi & Liang, Yan, 2025. "Second-order locally active memristor based neuronal circuit," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
    12. Wu, Fuqiang & Ma, Jun & Zhang, Ge, 2019. "A new neuron model under electromagnetic field," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 590-599.
    13. Xu, Quan & Wang, Yiteng & Wu, Huagan & Chen, Mo & Chen, Bei, 2024. "Periodic and chaotic spiking behaviors in a simplified memristive Hodgkin-Huxley circuit," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    14. Sang Hyun Sung & Tae Jin Kim & Hyera Shin & Tae Hong Im & Keon Jae Lee, 2022. "Simultaneous emulation of synaptic and intrinsic plasticity using a memristive synapse," Nature Communications, Nature, vol. 13(1), pages 1-12, December.
    15. Li, Peiluan & Han, Liqin & Xu, Changjin & Peng, Xueqing & Rahman, Mati ur & Shi, Sairu, 2023. "Dynamical properties of a meminductor chaotic system with fractal–fractional power law operator," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    16. Zhang, Zixi & Pershin, Yuriy V. & Martin, Ivar, 2024. "Electromechanical memcapacitor model offering biologically plausible spiking," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
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