A hyperbolic fixed point of a differential equation is a fixed point for which the stability matrix has
eigenvalues 
, also called a saddle
point.
A hyperbolic fixed point of a map is a fixed point for which the rescaled variables satisfy
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Hyperbolic Fixed Point
See also
Elliptic Fixed Point, Fixed Point, Linear Transformation, Parabolic Fixed Point, Stable Improper Node, Stable Spiral Point, Stable Star, Unstable Improper Node, Unstable Node, Unstable Spiral Point, Unstable StarExplore with Wolfram|Alpha
References
Tabor, M. "Classification of Fixed Points." §1.4.b in Chaos and Integrability in Nonlinear Dynamics: An Introduction. New York: Wiley, pp. 22-25, 1989.Referenced on Wolfram|Alpha
Hyperbolic Fixed PointCite this as:
Weisstein, Eric W. "Hyperbolic Fixed Point." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HyperbolicFixedPoint.html