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- W2362262010 abstract "The principal resonance of a stochastic Mathieu oscillator to random parametric excitations is investigated. The method of multiple scales is used to determine the equations of modulation of amplitude and phase. The effects of damping, detuning, bandwidth, and magnitudes of random excitation are analyzed. The explicit asymptotic formulas for the maximum Lyapunov exponent is obtained. The almost-sure stability or instability of the stochastic Mathieu system depends on the sign of the maximum Lyapunov exponent." @default.
- W2362262010 created "2016-06-24" @default.
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- W2362262010 date "2001-01-01" @default.
- W2362262010 modified "2023-09-25" @default.
- W2362262010 title "Maximum Lyapunov Exponent and Almost-Sure Stability for Stochastic Mathieu Systems" @default.
- W2362262010 hasPublicationYear "2001" @default.
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