Influence of Electric Current and Magnetic Flow on Firing Patterns of Pre-Bötzinger Complex Model

Figure 5

Fast-slow bifurcation analysis of neuronal firing patterns under different electric currents: (a) ; (b) ; (c) ; (d) ; (e) ; (f) . The black solid line represents the stable nodes (lower branch) and stable focus (upper branch); the black dash-dot line represents the saddles (middle branch) and the unstable focus (upper branch); the red dashed and solid lines represent the maximum and minimum values of the unstable and stable limit cycles, respectively. The points and subH represent the fold bifurcation and Hopf bifurcation of equilibrium; the points LPC, HC, and SNIC represent the fold bifurcation of the limit cycle, the homoclinic bifurcation, and saddle-node bifurcation on an invariant circle, respectively. The green curve represents the trajectory of the full system.

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