title: Theory of stochastic resonance for small signals in weakly damped bistable oscillators.
abstract: The response of a weakly damped bistable oscillator to an external periodic force is considered theoretically. In the approximation of weak signals we can write a linearized equation for the signal and the corresponding nonlinear equation for the noise. These equations contain two unknown parameters: An effective stiffness and an additional damping factor. In the case of the weakly damped bistable oscillator, considered here, the two-dimensional Fokker-Planck equation corresponding to the equation for the noise can be solved approximately by changing to a slow variable ("energy") and applying a method of successive approximation. This approach allows us to find the unknown parameters and to calculate the amplitude ratio of the output and input signals, i.e., the gain factor.
authors: Physics Department, Lomonosov Moscow State University, Moscow 119899, Russia.
authors: P S
authors: PS
authors: Landa
authors: I A
authors: IA
authors: Khovanov
authors: P V E
authors: PV
authors: McClintock