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- W1983284686 abstract "An exponential mean square stability for the invariant manifold [Formula: see text] of a nonlinear stochastic system is considered. The stability analysis is based on the [Formula: see text]-quadratic Lyapunov function technique. The local dynamics of the nonlinear system near manifold is described by the stochastic linear extension system. We propose a general notion of the projective stability (P-stability) and prove the following theorem. The smooth compact manifold [Formula: see text] is exponentially mean square stable if and only if the corresponding stochastic linear extension system is P-stable." @default.
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- W1983284686 date "2007-09-01" @default.
- W1983284686 modified "2023-09-25" @default.
- W1983284686 title "EXPONENTIAL MEAN SQUARE STABILITY OF STOCHASTICALLY FORCED INVARIANT MANIFOLDS FOR NONLINEAR SDEs" @default.
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- W1983284686 doi "https://doi.org/10.1142/s0219493707002098" @default.
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