Journal
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS
Volume 18, Issue 3, Pages 1726-1736Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TII.2021.3086819
Keywords
Memristors; Neurons; Biological system modeling; Magnetic flux; Firing; Integrated circuit modeling; Transient analysis; Initial state; magnetic induction; memristive rulkov (m-Rulkov) model; regime transition; transient chaos
Categories
Funding
- National Natural Science Foundation of China [51777016, 62071142]
- Postgraduate Research and Practice Innovation Program of Jiangsu Province, China [KYCX20_2548]
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This article introduces a discrete memristive Rulkov (m-Rulkov) neuron model that can simulate magnetic induction effects and better characterize the actual firing activities in biological neurons.
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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