We observe that trajectories spend a long time near the saddle node to the bottom left of the figure, so that these trajectories travel slower than those close to the limit cycle.
In this case the optimal trajectory spends more time close to the barrier top, where the motion is diffusive and broadly distributed, driven by low amplitude noise.
As the parameter I increases further, the trajectory leaves the repelling branch sooner, eventually resulting in relaxation oscillations (Figure 1f), in which the trajectory spends O ( 1 ) time near both branches of attracting fixed points of the fast system.
Still other studies have examined the ability of networks to produce ramping behavior by maximizing the time the systems trajectory spends around the saddle node of the system's phase space [37].
As before, since all other processes occur along fast directions, the cell's spiking period is determined by the time the trajectory spends in the vicinity of the slow manifold (vicinity of the V-nullsurface).
Compared to the time the trajectory spends near x − 0, the final large excursion away from the steady is short and happens in a few units of rescaled time.
We are not going to embrace Labor's trajectory of spending.
A member of the group, Elizabeth A. McGlynn, associate director of RAND Health, said that her firm's research showed that the legislation would do more to provide benefits for the uninsured than to change the overall upward trajectory in spending.
The following parameters were extracted from the healthy subjects and then averaged to obtain the reference values: ROMs, trajectories, time spent on each exercise, and absolute value for the metrics.
The lunar sphere of influence, whose radius is some 66,300 km, has regions of stable orbits around the Moon and also regions that contain trajectories which, after spending some time around the Moon, escape and are later recaptured by lunar gravity.
