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Memristive Rulkov Neuron Model With Magnetic Induction Effects

Li, Kexin, Bao, Han, Li, Houzhen, Ma, Jun, Hua, Zhongyun, Bao, Bocheng·2022·IEEE Transactions on Industrial Informatics

Abstract

The magnetic induction effects have been emulated by various continuous memristive models but they have not been successfully described by a discrete memristive model yet. To address this issue, this article first constructs a discrete memristor and then presents a discrete memristive Rulkov (m-Rulkov) neuron model. The bifurcation routes of the m-Rulkov model are declared by detecting the eigenvalue loci. Using numerical measures, we investigate the complex dynamics shown in the m-Rulkov model, including regime transition behaviors, transient chaotic bursting regimes, and hyperchaotic firing behaviors, all of which are closely relied on the memristor parameter. Consequently, the involvement of memristor can be used to simulate the magnetic induction effects in such a discrete neuron model. Besides, we elaborate a hardware platform for implementing the m-Rulkov model and acquire diverse spiking-bursting sequences. These results show that the presented model is viable to better characterize the actual firing activities in biological neurons than the Rulkov model when biophysical memory effect is supplied.

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Metadata

Authors
Li, K., Bao, H., Li, H., Ma, J., Hua, Z., & Bao, B.
Venue
IEEE Transactions on Industrial Informatics
Published
2022-03
Volume
18
Issue
3
Pages
1726-1736
ISSN
  • 1551-3203 (ISSN-L)
  • 1941-0050
OpenAlex
W3169771080
Cited by
268
References
4
FWCI
13.75
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Memristive Rulkov Neuron Model With Magnetic Induction Effects. https://app.cochat.ai/papers/10.1109/tii.2021.3086819
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Li, K., Bao, H., Li, H., Ma, J., Hua, Z., & Bao, B. (2022). Memristive Rulkov Neuron Model With Magnetic Induction Effects. IEEE Transactions on Industrial Informatics. https://doi.org/10.1109/tii.2021.3086819

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.