Dynamics of a neuron exposed to integer- and fractional-order discontinuous externalmagnetic flux
Karthikeyan RAJAGOPAL , Fahimeh NAZARIMEHR , Anitha KARTHIKEYAN , Ahmed ALSAEDI , Tasawar HAYAT , Viet-Thanh PHAM
Front. Inform. Technol. Electron. Eng ›› 2019, Vol. 20 ›› Issue (4) : 584 -590.
Dynamics of a neuron exposed to integer- and fractional-order discontinuous externalmagnetic flux
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.
Fitzhugh-Nagumo / Chaos / Fractional order / Magnetic flux
Zhejiang University and Springer-Verlag GmbH Germany, part of Springer Nature
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