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- W103162926 abstract "The almost-sure asymptotic stability of a pair of coupled linear oscillators whose frequencies are equal or nearly equal and parametrically excited by a wide-band stochastic process is investigated. Using the method of stochastic averaging and a Fourier expansion technique for solving the Fokker-Planck equation associated with the response angles, the maximal Lyapunov exponent is evaluated. The sign of the Lyapunov exponent determines the stability or instability of the oscillators. The cases when the frequency matrix is of diagonal form and of Jordan-canonical form are considered." @default.
- W103162926 created "2016-06-24" @default.
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- W103162926 date "2003-01-01" @default.
- W103162926 modified "2023-09-27" @default.
- W103162926 title "Stochastic Stability of Coupled Oscillators in Internal Resonance" @default.
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- W103162926 doi "https://doi.org/10.1007/978-94-010-0179-3_8" @default.
- W103162926 hasPublicationYear "2003" @default.
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