Sentence examples for cusp points from inspiring English sources

The two saddle-node bifurcation surfaces, SN l and SN r, meet along a line of codimen-2 cusp points.

In this paper, the authors obtain the locus of cusp points in the joint space entity, which will permit non-singular assembly mode changing in cuspidal manipulators.

Such a layer describes a bifurcation diagram that excludes some of the points that we find on the sphere: the two cusp points C s, C i (they require (mu _{2}=0)), and the Bautin point (requires a positive (mu_{2})).

We are at a cusp point in medical generations.

b U1CP (the maxillary central incisal edge point), U1RP(the maxillary central incisors root apex point), U3CP (the maxillary canine cusp point), U3RP(the maxillary canine root apex point), and U6CP (the maxillary first molar mesiobuccal cusp point) were measured.

The effect of changes in the various parameters on the location of the cusp point is investigated.

TB is the only one to present both a codim-3 cusp point and a codim-2 TB bifurcation (at which Hopf and saddle-homoclinic bifurcations coincide).

The first and second region are separated by a Cusp point (CP) and it is found that between CP and Bogdanov-Takens (BT) bifurcation point both Hopf and LP exist, due to presence of both DWOs and Ledinegg instability.

The method can determine systematically all the cusp point singularities arising at the onset of bistability, and therefore identify the regions of hysteretic superelasticity and superplasticity from the usual geometrical nonlinearity in the solution space.

Vertical distances were expressed by the distance between the same points and the x axis (palatal plane) and between the occlusal plane (except for incisor edge point and mesiobuccal cusp point, both tangential the occlusal plane).

Continuing the LPC 1 curve in the same direction, we first find a cusp point CP 1 after which the curve ends in the generalized Hopf bifurcation GH 1.