An elliptic fixed point of a differential equation is a fixed point for which the stability matrix has purely imaginary eigenvalues 
(for 
).
An elliptic fixed point of a map is a fixed point of a linear transformation (map) for which the rescaled variables satisfy
See also
Differential Equation,
Fixed Point,
Hyperbolic Fixed Point,
Linear Transformation,
Parabolic Fixed Point,
Stable Improper Node,
Stable Node,
Stable Spiral Point,
Stable Star,
Unstable Improper Node,
Unstable Node,
Unstable Spiral Point,
Unstable Star Explore 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
Elliptic Fixed Point Cite this as:
Weisstein, Eric W. "Elliptic Fixed Point." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/EllipticFixedPoint.html
Subject classifications
