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- W2030345056 abstract "The moment Lyapunov exponents and the Lyapunov exponents of a 2D system under both harmonic and white noise excitations are studied. The moment Lyapunov exponents and the Lyapunov exponents are important characteristics determining the moment and almost-sure stability of a stochastic dynamical system. The eigenvalue problem governing the moment Lyapunov exponent is established. A singular perturbation method is applied to solve the eigenvalue problem to obtain second-order, weak noise expansions of the moment Lyapunov exponents. The influence of the white noise excitation on the parametric resonance due to the harmonic excitation is investigated." @default.
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- W2030345056 date "2006-01-01" @default.
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- W2030345056 title "Moment Lyapunov exponents of a two-dimensional system under both harmonic and white noise parametric excitations" @default.
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- W2030345056 doi "https://doi.org/10.1016/j.jsv.2005.02.001" @default.
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