Sentence examples for loses its stability from inspiring English sources

Keyblock has been received a lot of attention in underground engineering because it loses its stability first after excavation.

It loses its stability outside the frequency range through Hopf bifurcation and then the system undergoes quasi-periodic motion.

From Figures 1(a) and (b), we see that the fixed point ( x 1 ∗, x 2 ∗ ) is stable for δ < 2.1786, and that it loses its stability at the flip bifurcation parameter value δ = 2.1786.

At first, the trivial solution is stable, then it loses its stability, and several different periodic patterns by a discrete Hopf bifurcation can be observed, which depend on different values of parameters.

Figures 1-3 show that the endemic equilibrium (E^ 7.8637,13.0491,2.370)) of model (2) is stable for (h<2.8903), and it loses its stability when (h=2.8903); moreover, when (h>2.8903) there appear complex dynamical behaviors.

The hybrid system often loses its stability as it becomes prone to uncertain load and input parameters and therefore the necessity of Reactive power management becomes necessary.

It is known that a plain cantilevered pipe conveying fluid loses its stability by a Hopf bifurcation, leading to either planar or non-planar flutter for flow velocities beyond the critical flow velocity for Hopf bifurcation.

Beyond a certain threshold the virtual market abruptly loses its stability in a "phase transition" akin to the way ice abruptly melts into liquid water.

In all cases the conical shell loses its stability through coupled-mode flutter.

From Theorem 3, we can conclude that when τ increases from zero to (tau_{0}) the positive equilibrium (E^) of system (28) is asymptotically stable, then it will lose its stability and a Hopf bifurcation occurs once (tau>tau_{0}).

Because the non-linear equilibrium path of a shallow arch has unstable branches, when the arch is subjected to a suddenly-applied load, it may lose its stability by dynamic snap-through owing to excessive oscillations reaching its unstable branch.