title: Two-state theory of nonlinear stochastic resonance.
abstract: 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.
authors.affiliation: Física Teórica, Universidad de Sevilla, Apartado de Correos 1065, Sevilla 41080, Spain.
authors.forename: Jesús
authors.initials: J
authors.lastname: Casado-Pascual
authors.forename: José
authors.initials: J
authors.lastname: Gómez-Ordóñez
authors.forename: Manuel
authors.initials: M
authors.lastname: Morillo
authors.forename: Peter
authors.initials: P
authors.lastname: Hänggi
mesh_terms: D017711:Nonlinear Dynamics; D012815:Signal Processing, Computer-Assisted; D013269:Stochastic Processes