Stochastic resonance: theory and numerics.
We address the phenomenon of stochastic resonance in a noisy bistable system driven by a time-dependent periodic force (not necessarily sinusoidal) and in its two-state approximation. Even for driving forces with subthreshold amplitudes, the behavior of the system response might require a nonlinear description. We introduce analytical and numerical tools to analyze the power spectral amplification and the signal-to-noise ratio in a nonlinear regime. Our analysis shows the importance of the effects of the driving force on the system fluctuations in a nonlinear regime. These effects can be usefully exploited to achieve high quality output signals with gains larger than unity, which is impossible within a linear regime.
Casado-Pascual
Jesús
J
Física Teórica, Universidad de Sevilla, Apartado de Correos 1065, Seville 41080, Spain. jcasado@us.es
Gómez-Ordóñez
José
J
Morillo
Manuel
M
D019563:Mechanics; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D010825:Physics / Q000379:methods*; D013269:Stochastic Processes; D013997:Time Factors; D014732:Vibration