Sentence examples for degenerate points from inspiring English sources

As the number of node points increases, we approach degenerate points.

Finally, we observe that the exact solution contains some degenerate points in the Lorentz Minkowski space at (h=0.01).

It is shown that the reason for this situation is that the exact solution contains some degenerate points in the Lorentz Minkowski space.

A partially diagonalized representation approach is developed to accurately treat near degenerate points, and a null-space analysis procedure is added to guide the selection of monomial basis and to remove linear dependencies in the fitting procedure.

Emphasis is placed on analyzing local qualitative behavior of the system in the neighborhood of a doubly degenerate point.

A co-dimension one bifurcation analysis for the autonomous system is carried out near the degenerate point.

The vibrations in the horizontal and vertical directions are analyzed on the center manifold near the double-zero degenerate point by using normal-form method.

Also, the degeneracy conditions of the non-hyperbolic point were derived and the dynamics of the resulting system on the center manifold near the double-zero degenerate point by using center manifold and normal form methods were examined.

For the autonomous case in which ωZis steady, we examine the dynamics of the resulting system on the center manifold near the double-zero degenerate point by using center manifold and normal form methods.

I will specifically show how a non-symmorphic crystal symmetry stabilizes a four-fold degenerate point in the electronic band structure of an anti-ferromagnetic system that is invariant under the combination of time-reversal and inversion symmetry, thus realizing massless Dirac fermions as low energy excitations.

From Table 2, we see that the surface (r x,t)) contains at least one degenerate point near (x=0.94).