Exact(20)
The shapes of the limit cycle trajectories depend on f.
The limit cycle trajectories cannot move beyond the piece of the v-nullcline with slope η = − 1.
For intermediate values of f there is a transition in the shapes of the limit cycle trajectories between these two limit cases.
For small and large enough values of f the corresponding limit cycle trajectories are constrained to move along quasi-one-dimensional directions (w-nullcline and v-axis, respectively).
This causes a maximization (over the range of input frequencies f) of the maximum value v max on the limit cycle trajectories.
The nonlinear amplification of the voltage response results from the ability of the limit cycle trajectories to move beyond the dashed-red line with slope η = − 1.
Similar(40)
As t increases the v-nullcline moves and the limit cycle trajectory tracks its motion.
The bursting limit cycle trajectory (black curve) is also projected on the (h_{s}) versus (o+i) pool plane.
The consequent decrease in speed prevents the limit cycle trajectory from reaching large enough values of v max.
The initial snapshot ( t = 0 ) corresponds to a point (blue dot) on the limit cycle trajectory and A t = 0.
For values of f > f res, the limit cycle trajectory moves slower than for f = f res.
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