Sentence examples for time scale before from inspiring English sources

Rather, canard orbits are trajectories that follow attracting and saddle slow manifolds for (mathcal{O}(1)) time on the slow time scale before exiting via the unstable manifold of the saddle slow manifold [65].

Rather, canard orbits exist as trajectories that follow attracting and saddle slow manifolds for (mathcal{O}(1)) time on the slow time scale before exiting via the unstable manifolds of the saddle slow manifold.

For their light-induced processes, the generally accepted picture is that all function emanates from triplet states because the singlet states initially prepared by light absorption are depopulated via intersystem crossing on the 100-fs time scale, before they are significantly involved in chemical reactions.

First we will give some definitions about time scales before presenting our main result (see [28, 29]).

In acid solution, the oxidation of 1-butanol exhibits excitability, i.e. a small perturbation induces a large amplitude excursion with mixed time scales before the system returns to stationary behavior.

However, to the best of our knowledge, the concept of weighted piecewise pseudo almost automorphic functions on time scales has not been introduced in any literature until now, so there was no work on discussing weighted piecewise pseudo almost automorphic problems of impulsive dynamic equations on time scales before.

Rebound effects have been described in other domains and at different time scales before – for example in the field of thought suppression [28], [31].

We used silica microparticles of 1 µm in size which should sediment on sufficiently shorter time scales before perforation.

At the center during spin-up from rest, the maximum enhancement in mass transfer occurred after the Ekman time scale and before the viscous time scale.

As described above, for a time scale of decades before the Tohoku-Oki earthquake, there occurred a long-term transient (i.e., the accelerated slow slip) in the downdip portion of the source area on the megathrust (Fig. 6b) [6].

Further, Sumudu transform on time scale is not presented before.