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

Karthikeyan RAJAGOPAL; Fahimeh NAZARIMEHR; Anitha KARTHIKEYAN; Ahmed ALSAEDI; Tasawar HAYAT; Viet-Thanh PHAM

doi:10.1631/FITEE.1800389

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

Regular Papers | Updated：2022-05-19

- Dynamics of a neuron exposed to integer-and fractional-order discontinuous external magnetic flux
- 整数阶与分数阶非连续外磁通量的神经元动力学
- Frontiers of Information Technology & Electronic Engineering Vol. 20, Issue 4, Pages: 584-590(2019)
- Affiliations：
  
  Center for Nonlinear Dynamics, Defence University, Bishoft 6020, Ethiopia
  Institute of Energy, Mekelle University, Mekelle 231, Ethiopia
  Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran
  NAAM Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
  Modelling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
- Author bio：
  
  Viet-Thanh PHAM, E-mail: phamvietthanh@tdt.edu.vn
- Funds：
- DOI：10.1631/FITEE.1800389
  CLC： O44
- Received：23 June 2018，
  
  Revised：2019-;1-25，
  
  Published Online：07 March 2019，
  
  Published：2019-04
- Accepted：
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Karthikeyan RAJAGOPAL, Fahimeh NAZARIMEHR, Anitha KARTHIKEYAN, et al. 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.
DOI：

Karthikeyan RAJAGOPAL, Fahimeh NAZARIMEHR, Anitha KARTHIKEYAN, et al. 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. DOI： 10.1631/FITEE.1800389.

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。

Abstract

We propose a modified Fitzhugh-Nagumo neuron (MFNN) model. Based on this model

an integerorder 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. Fractionalorder 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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references

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