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2019, Volume 20, Issue 4

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Frontiers of Information Technology & Electronic Engineering >> 2019, Volume 20, Issue 4 doi: 10.1631/FITEE.1800389

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

1. Center for Nonlinear Dynamics, Defence University, Bishoft 6020, Ethiopia
2. Institute of Energy, Mekelle University, Mekelle 231, Ethiopia
3. Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran
4. NAAM Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
5. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
6. Modelling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam

Available online: 2019-06-05
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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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