Apart from these studies, few literatures focus on the jump phenomenon
in optimal execution problem.
When the intensity of excitation from sprung mass vibration is beyond a certain value, the number of solutions is 3, resulting in saddle node bifurcation and jump phenomenon in amplitude-frequency curve.
When the excitation acceleration is much bigger than [f.sub.stable], jump phenomenon occurs.
The same jump phenomenon
is expected in the larger value of sin a regime that exhibits instability.
The well-known "jump phenomenon" can be seen on both curves.
It is noted that in the cases of [kappa] = 1, there is no jump phenomenon as the excitation force is quite small (i.e., linear case).
Su, "The jump phenomenon effect on the sound absorption of a nonlinear panel absorber and sound transmission loss of a nonlinear panel backed by a cavity," Nonlinear Dynamics, vol.
In contrast, to capture the jump phenomenon of housing price as shown in the Figure 1, the dynamic process of housing price proposed in this article combines a Brownian motion and a compound Poisson process.
This economic implication is that if there is a future crash in the housing market, housing prices will have an intense jump phenomenon and higher abnormal volatility of jump size.
Consistently, the jump phenomenon
is not modified in its amplitude by the presence of the holes.
Figure 1 illustrates the graphical relationships of speedflow, and it can be inferred from Figure 1 that the free flow phase with high velocity and low rate of flow discontinuously evolves into the congested phase; a discontinuity or jump phenomenon happens through the evolution.
And from the aspect of data description it is indicated that when the density value reached the critical value, the traffic flow phase would transform from unconstrained to constrained with the jump phenomenon. So when the traffic operation is under monitor, once the density arises to the critical level, several control measures should be actualized to avoid severe congestion, and the traffic volume of travelling on-off ramps should be reduced by route guidance in order to keep a safe driving zone and avoid traffic accidents.