Two-state theory of nonlinear stochastic resonance.
An amenable, analytical two-state description of the nonlinear population dynamics of a noisy bistable system driven by a rectangular subthreshold signal is put forward. Explicit expressions for the driven population dynamics, the correlation function (its coherent and incoherent parts), the signal-to-noise ratio (SNR), and the stochastic resonance (SR) gain are obtained. Within a suitably chosen range of parameter values this reduced description yields anomalous SR gains exceeding unity and, simultaneously, gives rise to a nonmonotonic behavior of the SNR vs the noise strength. The analytical results agree well with those obtained from numerical solutions of the Langevin equation.
Casado-Pascual
Jesús
J
Física Teórica, Universidad de Sevilla, Apartado de Correos 1065, Sevilla 41080, Spain.
Gómez-Ordóñez
José
J
Morillo
Manuel
M
Hänggi
Peter
P
D017711:Nonlinear Dynamics; D012815:Signal Processing, Computer-Assisted; D013269:Stochastic Processes