Canards dynamics to explore the rhythm transition under electromagnetic induction

Feibiao Zhan, Jianzhong Su and Shenquan Liu

Chaos, Solitons & Fractals, 2023, vol. 169, issue C

Abstract: The encoding and transmission of neural information is closely related to neuronal electrophysiological activity such as spike, burst and so on. The main purpose of the paper is to explain the mechanism of transition dynamics between discharge rhythm of mathematical model for neurons under electromagnetic induction. The main dynamical system features involve torus canards. First, the dynamics of spike-burst mode and spiking patterns is demonstrated separately. In addition, the intermediate state spikes of amplitude modulation (AM spike) are found when the spike modes of the neuron are numerically calculated, and the AM mode is illustrated using torus canards. Moreover, the discharge patterns of neuron are compared when considering whether the electromagnetic induction is introduced into the system, and the effect of electromagnetic induction on the discharge rhythm is discussed. Furthermore, the existence regime of the canards phenomenon changes when the system is under the electromagnetic induction, and the dynamics of burst is also different to the original system. Finally, the function of electromagnetic induction on the dynamics of neuron bursts mode, spiking mode and transition mode between burst and spiking is explained.

Keywords: Electromagnetic induction; Canards; Transition dynamics; Discharge pattern; Nociceptive neuron model (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923002059

DOI: 10.1016/j.chaos.2023.113304

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