Abstract
Based on an improved neuron model with electromagnetic induction being considered, the phase synchronization approaching is investigated on a four-variable Hindmarsh–Rose neuron model by describing the electromagnetic induction with magnetic flux. The effect of time-varying electromagnetic field is described by magnetic flux and the coupling of electromagnetic field is also described by exchange of magnetic flux. It is found that magnetic flux coupling between neurons can induce perfect phase synchronization, the Lyapunov exponent spectrum and local Lyapunov dimension are calculated by using wolf scheme to detect phase synchronization of chaotic time series for membrane potentials. These results confirmed that neurons exposed to external electromagnetic field can induce phase synchronization and appropriate behaviors can be selected. It could give new mechanism explanation for phase synchronization by applying field coupling between neurons.
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