Abstract
The dynamic stability of a two-dimensional system under combined excitations of harmonic and real noise, which is modelled as an Ornstein-Uhlenbeck process, is studied through the determination of the moment Lyapunov exponents and the Lyapunov exponents. The influence of the real noise excitation on the primary parametric resonance due to the harmonic excitation is investigated.
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Xie, WC. (2003). Stability of a Two-Dimensional System Under Combined Harmonic and Real Noise Parametric Excitations. In: Namachchivaya, N.S., Lin, Y.K. (eds) IUTAM Symposium on Nonlinear Stochastic Dynamics. Solid Mechanics and Its Applications, vol 110. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0179-3_16
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DOI: https://doi.org/10.1007/978-94-010-0179-3_16
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