Sentence examples for the two timescale from inspiring English sources

A non-trivial definition of the stabilization objective is proposed and the two timescale behavior of the SAF is exploited to apply the Averaging technique and Input to State Stability arguments in the control design.

According to the geometric singular perturbation theory, the dynamical behavior of the two timescale systems is governed by the structure of the slow manifold including the shape, stability, and bifurcation of the slow manifold, as well as the location and stability of the equilibrium of the two timescale systems.

The two timescales, however, are rather different, as is the dramatic thrust of each part.

Approximate solutions are sought using the two timescales perturbation method in conjunction with the method of characteristic coordinates.

The two timescales perturbation method and the Laplace transform method have been employed to the equation of motion in search of infinite mode approximate solutions.

The difference between the two timescales gets smaller as the dust grains become larger.

The difference in GEC responses to EUV variations on the two timescales is consistent with that in thermospheric responses.

Figure 1 shows the two timescales tcol (solid lines) and tspin-down (dashed lines) at R1 = 1 for MMSN.

It is unresolved what causes this difference in thermospheric responses to solar irradiance variations on the two timescales.

For the global ionosphere, the difference in the variation slopes of GEC versus EUV on the two timescales was presented in the above analysis.

Table 1 lists the variation slopes of latitudinal-integral electron content (LIEC) versus EUV and the correlation coefficients between LIEC and EUV on the two timescales for six latitudinal intervals.