Moment Lyapunov exponent for two coupled oscillators driven by real noise Export

@article{NamachchivayaVD96, abstract = {In this paper, an approximation for the moment Lyapunov exponent, the asymptotic growth rate of the moments of the response of two coupled oscillators driven by real noise, is constructed. A perturbation approach is used to obtain explicit expressions for these exponents in the presence of small intensity noise. The results are applied to study the moment stability of the stationary solutions of structural and mechanical systems subjected to stochastic excitation.}, author = {Namachchivaya, N. S. and Vanroessel, H. J. and Doyle, M. M.}, citeulike-article-id = {1597118}, journal = {Siam Journal On Applied Mathematics}, keywords = {exponents, le, lyapunov, noise}, pages = {1400--1423}, posted-at = {2007-08-27 18:58:07}, priority = {2}, title = {Moment Lyapunov exponent for two coupled oscillators driven by real noise}, volume = {56}, year = {1996} }

TY - JOUR ID - NamachchivayaVD96 L3 - citeulike-article-id:1597118 N2 - In this paper, an approximation for the moment Lyapunov exponent, the asymptotic growth rate of the moments of the response of two coupled oscillators driven by real noise, is constructed. A perturbation approach is used to obtain explicit expressions for these exponents in the presence of small intensity noise. The results are applied to study the moment stability of the stationary solutions of structural and mechanical systems subjected to stochastic excitation. JF - Siam Journal On Applied Mathematics EP - 1423 TI - Moment Lyapunov exponent for two coupled oscillators driven by real noise VL - 56 SP - 1400 KW - exponents KW - le KW - lyapunov KW - noise AU - Namachchivaya, NS AU - Vanroessel, HJ AU - Doyle, MM PY - 1996/// ER -