An elliptic fixed point of a differential equation is a fixed point for which the stability matrix has purely imaginary eigenvalues λ_± = ± i ω (for ω>0). An elliptic fixed point of a map is a fixed point of a linear transformation (map) for which the rescaled variables satisfy (δ - α)^2 + 4βγ<0.

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