then the solution is asymptotically stable. This condition can be tested using the Routh–Hurwitz criterion. Lyapunov function for general dynamical systems A general way to establish Lyapunov stability or asymptotic stability of a dynamical system is by means of Lyapunov functions. See also Chaos theory Asymptotic stability Hyperstability Linear stability Orbital stability Stability criterion Stability radius Structural stability von Neumann stability analysis References External links Stable Equilibria by Michael Schreiber, The Wolfram Demonstrations Project. Limit sets Mathematical and quantitative methods (economics)