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Analysis of the functional behavior of fractional-order discrete neuron under electromagnetic radiation

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  • Ma, Tao
  • Mou, Jun
  • Banerjee, Santo
  • Cao, Yinghong

Abstract

Human evolution is divided into two parts, the evolution of DNA-dominated human body and the evolution of brain-dominated human behavior. Therefore, the study of brain function provides clues to explore human evolution. In computational neuroscience, mathematical neuron models can be used to describe the biological functions of the brain, especially discrete neuron models. From the concept of neuroscience, discrete fractional-order (FO) neuron models combine memories into a dynamical model, which is essential for analyzing neuron model functions. In this paper, a class of FO-bi-Rulkov neuron map and introduce discrete memristor to estimate neurons exposed to electromagnetic radiation (EMR) is proposed. The effects of order variation, especially incommensurate-order, are analyzed. The basic and complex dynamical behavior of neuron are explored by multiple characteristic analysis methods. Finally, a digital circuit implementation of the neuron model is performed. This work provides a basis and application for future research on FO discrete neuron models.

Suggested Citation

  • Ma, Tao & Mou, Jun & Banerjee, Santo & Cao, Yinghong, 2023. "Analysis of the functional behavior of fractional-order discrete neuron under electromagnetic radiation," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    • Handle: RePEc:eee:chsofr:v:176:y:2023:i:c:s0960077923010147
    DOI: 10.1016/j.chaos.2023.114113
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