Firing patterns and bifurcation analysis of neurons under electromagnetic induction

<p style='text-indent:20px;'>Based on the three-dimensional endocrine neuron model, a four-dimensional model was constructed by introducing magnetic flux variable and induced current according to law of electromagnetic induction. Firstly, codimension-one bifurcation Interspike Intervals (ISIs) analysis were applied study structure with respect external stimuli parameter <inline-formula><tex-math id="M1">$ k_0 $</tex-math></inline-formula>, two dynamical behaviors found: period-adding period-doubling leading chaos. Besides, Hopf specially discussed corresponding transformation state. Secondly, different firing patterns such as regular bursting, subthreshold oscillations, fast spiking, mixed-mode oscillations (MMOs) etc. can be observed changing current. The presented more activities under strong coupling strength. Finally, codimension-two shown details bifurcation. At same time, Bogdanov-Takens point also analyzed three curves derived.</p>