With the help of a perturbation analysis it is shown analytically that vibrations of the system may become unstable.
Due to this small in-plane force, the system may become unstable before the aerodynamic force reaches its critical value.
Due to this random in-plane force, the plate may become unstable before the aerodynamic force reaches its critical value.
Upon swelling in a solvent, a thin hydrogel layer on a rigid substrate may become unstable, developing various surface patterns.
A solid wood floor composed of too many wide boards may become unstable through expansion and contraction.
As conditions change, the source population may become unstable, as when disease increases locally or the physical environment deteriorates.
For example, when you're trying to release proteins for a month, these molecules may become unstable in the presence of water and body temperature.
In the summation and the principal resonances, the trivial responses may become unstable and bifurcate into nontrivial responses for certain excitation frequencies.
The extrapolation may become unstable in the sense that some of the extrapolation coefficients increase rapidly when the grid nodes are getting closer to the boundary.
It is shown that when the velocity of the bogie exceeds the minimum phase velocity of waves in the beam, the vibration of the system may become unstable.
Under an intermediate level of cooling capacity, the ignited steady state may become unstable leading to formation of period-n or aperiodic states.
