CLC number: O44
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2019-01-25
Cited: 0
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Karthikeyan Rajagopal, Fahimeh Nazarimehr, Anitha Karthikeyan, Ahmed Alsaedi, Tasawar Hayat, Viet-Thanh Pham. Dynamics of a neuron exposed to integer- and fractional-order discontinuous external magnetic flux[J]. Frontiers of Information Technology & Electronic Engineering, 2019, 20(4): 584-590.
@article{title="Dynamics of a neuron exposed to integer- and fractional-order discontinuous external magnetic flux",
author="Karthikeyan Rajagopal, Fahimeh Nazarimehr, Anitha Karthikeyan, Ahmed Alsaedi, Tasawar Hayat, Viet-Thanh Pham",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="20",
number="4",
pages="584-590",
year="2019",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1800389"
}
%0 Journal Article
%T Dynamics of a neuron exposed to integer- and fractional-order discontinuous external magnetic flux
%A Karthikeyan Rajagopal
%A Fahimeh Nazarimehr
%A Anitha Karthikeyan
%A Ahmed Alsaedi
%A Tasawar Hayat
%A Viet-Thanh Pham
%J Frontiers of Information Technology & Electronic Engineering
%V 20
%N 4
%P 584-590
%@ 2095-9184
%D 2019
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1800389
TY - JOUR
T1 - Dynamics of a neuron exposed to integer- and fractional-order discontinuous external magnetic flux
A1 - Karthikeyan Rajagopal
A1 - Fahimeh Nazarimehr
A1 - Anitha Karthikeyan
A1 - Ahmed Alsaedi
A1 - Tasawar Hayat
A1 - Viet-Thanh Pham
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 20
IS - 4
SP - 584
EP - 590
%@ 2095-9184
Y1 - 2019
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.1800389
Abstract: We propose a modified fitzhugh-Nagumo neuron (MFNN) model. Based on this model, an integer-order MFNN system (case A) and a fractional-order MFNN system (case B) were investigated. In the presence of electromagnetic induction and radiation, memductance and induction can show a variety of distributions. Fractional-order magnetic flux can then be considered. Indeed, a fractional-order setting can be acceptable for non-uniform diffusion. In the case of an MFNN system with integer-order discontinuous magnetic flux, the system has chaotic and non-chaotic attractors. Dynamical analysis of the system shows the birth and death of period doubling, which is a sign of antimonotonicity. Such a behavior has not been studied previously in the dynamics of neurons. In an MFNN system with fractional-order discontinuous magnetic flux, different attractors such as chaotic and periodic attractors can be observed. However, there is no sign of antimonotonicity.
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