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
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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 Web Resource. https://mathworld.wolfram.com/EllipticFixedPoint.html
Subject classifications
