Saddle Point(redirected from Saddle points)
saddle point[′sad·əl ‚pȯint]
a critical point of a first-order differential equation. In a neighborhood of a saddle point, four half-line integral
curves enter the critical point. Between the four curves there are four regions, each of which contains a family of integral curves resembling hyperbolas (see Figure l). The pattern of integral curves in a neighborhood of a saddle point is reminiscent of the contour lines of a hyperbolic paraboloid, which has the shape of a saddle—hence the name of the critical point.