... to transform the partial differential eigenvalue problems to linear algebraic eigenvalue problems, which are then solved numerically. The numerical values obtained are compared with approximate analytical results with weak noise amplitudes. 04 12 2002 01 06 2005 Lyapunov matrix equations...

... of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 07 July 2003 02 February 2004 09 11 2004 Lyapunov matrix equations damping asymptotic stability...

... publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 02 October 2003 13 April 2004 09 11 2004 stochastic systems asymptotic stability Lyapunov matrix equations stochastic processes linear systems bifurcation Fokker-Planck equation perturbation techniques...