Zubov's method

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Zubov's method is a technique for computing the domain of attraction for a set of ordinary differential equations (a dynamical system). The domain of attraction is the set $\{x:\, v(x)<1\}$ , where $v (x)$ is the solution to a partial differential equation known as the Zubov equation.

[edit] References

Vladimir Ivanovich Zubov, Methods of A.M. Lyapunov and their application, Izdatel'stvo Leningradskogo Universiteta, 1961. (Translated by the United States Atomic Energy Commission, 1964.) ASIN B0007F2CDQ.