Instability of a nonlinear oscillator with small friction and small additive noise

Peter H Baxendale

Let $\lambda =\lambda (\beta ,\sigma ,a,b)$ denote the top Lyapunov exponent for the linearization along trajectories of the noisy damped non-linear oscillator $\ddot{x}+\beta \dot{x}+ax+b{x}^3=\sigma {\dot{W}}_t$,…