Sentence examples for perform a linear stability from inspiring English sources

In order to determine the nature of the tonal noise generation mechanism, we perform a linear stability analysis and employ a global perturbation approach in combination with dynamic mode decomposition.

To assess the stability of this state we perform a linear stability analysis expanding a solution as ({x}_{i}(t) = {s}(t) +delta{x}_{i}(t)) to obtain the variational equation frac{mathrm{d}}{mathrm{d}t} { delta{x}_{i}} = D {F}({s}) delta {x}_{i} - sigma D {H}({s}) sum_{j=1}^{N} mathcal{G}_{ij} delta{x}_{j}.

We perform a linear stability analysis to determine when a spatially homogeneous steady-state solution is instable against small sinusoidal spatial oscillations.

The critical value is found by performing a linear stability analysis of the basic reaction regime.

For the particular case of two prey (e.g., engineered and native, respectively) and one common predator species, by performing a linear stability analysis about the initial native-dominant steady state, we determine under which conditions the engineered species invasion succeeds.

To achieve this, we have performed a linear stability analysis to find the constraints on parameters that allow pattern formation.

We perform a linear BiGlobal modal stability analysis on the separated flow around a NACA 4415 airfoil at low Reynolds numbers (Re= 300 1000) and a high angle of attack (α= 20°), with a focus on the effect of the airfoil's proximity to two different types of ground: a stationary ground and a moving ground.

In this study we perform a linear analysis of the stability of a two-layered liquid film which is evaporating upon a horizontal solid substrate.

A linear stability analysis is performed to confirm the findings on the stability of the steady state.

A linear stability analysis has been performed and the diffusion-controlled evolution of the shape of both fronts has been characterized.

In the study of these bifurcation problems the model of partial differential equations must be solved for lots of values of the bifurcation parameter and a linear stability analysis has to be performed for each solution in order to know its linear stability properties and the succession of bifurcations.