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 part), 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 non-monotonic behavior of the SNR vs. the noise strength. The analytical results agree well with those obtained from numerical solutions of the Langevin equation.

4 pages, 1 figure

References in corpus (2)

• Gain in Stochastic Resonance: Precise Numerics versus Linear Response Theory beyond the Two-Mode Approximation
• Activated escape over oscillating barriers: The case of many dimensions

Cited by in corpus (20)

• Stochastic resonance in soft matter systems: combined effects of static and dynamic disorder
• Statistics of transition times, phase diffusion and synchronization in periodically driven bistable systems
• Finite size fluctuations and stochastic resonance in globally coupled bistable systems
• Switching Time Statistics for Driven Neuron Models: Analytic Expressions versus Numerics
• Theory of frequency and phase synchronization in a rocked bistable stochastic system
• Single-molecule stochastic resonance
• Controlling Nonlinear Stochastic Resonance by Harmonic Mixing
• Benefits of Open Quantum Systems for Quantum Machine Learning
• Stochastic resonance with weak monochromatic driving: gains above unity induced by high-frequency signals
• Nonlinear Stochastic Resonance with subthreshold rectangular pulses
• Nonstationary stochastic resonance viewed through the lens of information theory
• General approach for dealing with dynamical systems with spatiotemporal periodicities
• Stochastic resonance in finite arrays of bistable elements with local coupling
• Generic shape of multichromatic resonance peaks
• Noise improvement of SNR gain in parallel array of bistable dynamic systems by array stochastic resonance
• Non-Gaussian, non-dynamical stochastic resonance
• Two-state Markovian theory of input-output frequency and phase synchronization
• Anomalous response in the vicinity of spontaneous symmetry breaking
• Frequency-shift keying signal detection via short time stochastic resonance
• System size synchronization