Hyperbolic point
Encyclopedia
In applied mathematics
, a hyperbolic point in a system dx/dt = F(x) of ordinary differential equation
s is a stationary point x0 such that the eigenvalues of the linearized system have non-zero real part.
Applied mathematics
Applied mathematics is a branch of mathematics that concerns itself with mathematical methods that are typically used in science, engineering, business, and industry. Thus, "applied mathematics" is a mathematical science with specialized knowledge...
, a hyperbolic point in a system dx/dt = F(x) of ordinary differential equation
Ordinary differential equation
In mathematics, an ordinary differential equation is a relation that contains functions of only one independent variable, and one or more of their derivatives with respect to that variable....
s is a stationary point x0 such that the eigenvalues of the linearized system have non-zero real part.
See also
- Anticlastic
- Elliptic point
- Gaussian curvatureGaussian curvatureIn differential geometry, the Gaussian curvature or Gauss curvature of a point on a surface is the product of the principal curvatures, κ1 and κ2, of the given point. It is an intrinsic measure of curvature, i.e., its value depends only on how distances are measured on the surface, not on the way...
- Hyperbolic fixed point
- Parabolic point
- Planar point
- Synclastic
External links
- Hyperbolic Point at Wolfram MathWorld