hyperbolic point

hyperbolic point

[¦hī·pər¦bäl·ik ′pȯint]
(fluid mechanics)
A singular point in a streamline field which constitutes the intersection of a convergence line and a divergence line; it is analogous to a col in the field of a single-valued scalar quantity. Also known as neutral point.
(mathematics)
A point on a surface where the Gaussian curvature is strictly negative.
References in periodicals archive ?
b) Melnikov method is used in case of periodic motions and is analysing the conditions necessary in order for the stable and non-stable varieties of the same hyperbolic point to transversally intersect each odder.
0cr], the stable and non-stable varieties of the hyperbolic point cannot have a transversal intersection and, as a general conclusion, the chaotically motions may not occur.
1 for each case of [rho](u)[mu](u) > 2[pi],= 2[pi] or < 2[pi], call elliptic point, euclidean point and hyperbolic point, respectively.
Here, we assume the angle at the intersection point is in clockwise, that is, a line passing through an elliptic point will bend up and a hyperbolic point will bend down, such as the cases (b),(c) in the Fig.