Sentence examples for Marginally unstable from inspiring English sources

This is nontrivial in light of the (marginally) unstable nature of uncontrolled open water channels, which for the purposes of controller design, can modelled as a concatenation of integrators, linked by saturation-prone gates used to regulate the flow of water.

(b) Reduction to a centre manifold parametrised by the marginally unstable modes (generically this is one- or two-dimensional when only one parameter is varied).

Identification of the marginally unstable modes (as discussed in Sect. 3.9, symmetry means there can generally be several of these that will become unstable at the same time).

(b′):  Reduction to a centre manifold parametrised by the marginally unstable modes (these are preserved by the action of the symmetries and may be of dimension greater than two even for one-parameter bifurcations).

This involves the following steps: (a) Identification of the marginally unstable modes (the directions that are losing stability: for equilibria, this corresponds to the eigenspace of the Jacobian where the eigenvalues have zero real part).

I will discuss how the required coupling can arise through condensation and precipitation of cold clouds out of a galaxy's circumgalactic medium, and will show how a feedback mechanism that suspends the circumgalactic medium in a marginally unstable state can regulate star formation within galaxies.

Pohl, A. et al. Scattered light images of spiral arms in marginally gravitationally unstable discs with an embedded planet.

In other words, adopting the alternative perspective, an originally stable vegetated slope could become marginally stable or unstable after vegetation is removed.

However, such destabilization of the native conformation makes folding of marginally stable or unstable proteins such as procollagen more difficult or impossible.

A linear feedback control structure is proposed that allows internal model control design principles to be applied to unstable and marginally stable plants.

The aims are to stabilize the unstable or marginally stable motion and to control the large build-up of periodic disturbances occurring during operation.