A hyperbolic fixed point of a differential equation is a fixed point for which the stability matrix has eigenvalues λ_1<0<λ_2, also called a saddle point. A hyperbolic fixed point of a map is a fixed point for which the rescaled variables satisfy (δ - α)^2 + 4βγ>0.

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 star