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CLC number: O44

On-line Access: 2019-05-14

Received: 2018-06-23

Revision Accepted: 2018-09-14

Crosschecked: 2019-01-25

Cited: 0

Clicked: 1133

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Karthikeyan Rajagopal

http://orcid.org/0000-0003-2993-7182

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Frontiers of Information Technology & Electronic Engineering  2019 Vol.20 No.4 P.584-590

http://doi.org/10.1631/FITEE.1800389


Dynamics of a neuron exposed to integer- and fractional-order discontinuous external magnetic flux


Author(s):  Karthikeyan Rajagopal, Fahimeh Nazarimehr, Anitha Karthikeyan, Ahmed Alsaedi, Tasawar Hayat, Viet-Thanh Pham

Affiliation(s):  Center for Nonlinear Dynamics, Defence University, Bishoft 6020, Ethiopia; more

Corresponding email(s):   phamvietthanh@tdt.edu.vn

Key Words:  Fitzhugh-Nagumo, Chaos, Fractional order, Magnetic flux


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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.

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year="2019",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1800389"
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%A Ahmed Alsaedi
%A Tasawar Hayat
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A1 - Fahimeh Nazarimehr
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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.

整数阶与分数阶非连续外磁通量的神经元动力学

摘要:提出一种改进Fitzugh-Nagumo神经元(MFNN)模型。在此模型基础上,研究了基于整数阶(案例A)与分数阶(案例B)的MFNN系统。在电磁感应和辐射作用下,记忆和感应呈现多种分布,证明该分数阶磁通量适用于非均匀扩散。整数阶非连续磁通量MFNN系统具有混沌和非混沌吸引子。系统动力学分析显示倍周期的产生和消失标志着反单调性,神经元动力学研究未曾报道此现象。在分数阶非连续磁通量MFNN系统中,混沌吸引子和周期吸引子无反单调性。

关键词:Fitzhugh-Nagumo;混沌;分数阶;磁通量

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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