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Dynamics of a neuron exposed to integer- and fractional-order discontinuous external magnetic flux |
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| Authors: | Rajagopal Karthikeyan Nazarimehr Fahimeh Karthikeyan Anitha Alsaedi Ahmed Hayat Tasawar Pham Viet-Thanh |
| Affiliation: | 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 ; |
| 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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