Moment Lyapunov exponents of a two-dimensional system in wind-induced vibration under real noise excitation

The Lyapunov exponent, moment Lyapunov exponent, and stability index of a two-dimensional system in wind-induced vibration under real noise excitation are studied. The real noise is modelled by an Ornstein–Uhlenbeck process. The method of regular perturbation is applied to obtain small noise expansion of the moment Lyapunov, from which the small noise expansions of the Lyapunov exponent and stability index are also obtained.