Sentence examples for singular amplitude from inspiring English sources

Therefore, a weighted sequence with adaptively tuning weights inversely proportional to singular amplitude is adopted to guarantee the distribution consistence of large singular values.

This is often seen in mixed mode oscillations that are associated with a folded node singularity, in contrast to those associated with a singular Hopf bifurcation, where the amplitude of successive small oscillations increases [38].

The small oscillations have zero amplitude in the singular case, which grows as C m for C m sufficiently small [23].

Low-frequency inertia gravity waves can be destabilized by singular vectors even if their amplitude is too weak to produce local Richardson numbers less than a quarter.

The amplitudes of the singular stress terms can be calculated using the H-integral.

In particular, the frequencies may become singular for finite values of the amplitude.

Note that these singular canard cycles have (O(1)) amplitude and have a frequency (O(1)) on the order of the slow time scale.

An artificial parameter Linstedt Poincaré method is presented and used to determine the periodic solution of a nonlinear singular oscillator for small and large amplitudes.

Figure  4 shows that time coefficient changes in the first pair of singular vectors were consistent, but their amplitudes were not identical.

Compared with the useful signals, the noise always has worse coherence and even smaller amplitude, thus corresponds to smaller singular values.

For (n =3), the existence of 11 small-amplitude limit cycles around a singular point was proved by [30], which is the best result so far for cubic systems, namely (M 3)=11).