Nonlinear Stochastic Resonance with subthreshold rectangular pulses

Abstract

We analyze the phenomenon of nonlinear stochastic resonance (SR) in noisy bistable systems driven by pulsed time periodic forces. The driving force contains, within each period, two pulses of equal constant amplitude and duration but opposite signs. Each pulse starts every half-period and its duration is varied. For subthreshold amplitudes, we study the dependence of the output signal-to-noise ratio (SNR) and the SR gain on the noise strength and the relative duration of the pulses. We find that the SR gains can reach values larger than unity, with maximum values showing a nonmonotonic dependence on the duration of the pulses.

7 pages, 2 figures

References in corpus (5)

• Linear and Nonlinear Experimental Regimes of Stochastic Resonance
• Two-state theory of nonlinear Stochastic Resonance
• Gain in Stochastic Resonance: Precise Numerics versus Linear Response Theory beyond the Two-Mode Approximation
• Subthreshold Stochastic Resonance: Rectangular signals can cause anomalous large gains
• Rocking bistable systems: use and abuse of Linear Response Theory

Cited by in corpus (6)

• Coherent Signal Amplification in Bistable Nanomechanical Oscillators by Stochastic Resonance
• Theory of frequency and phase synchronization in a rocked bistable stochastic system
• Optomechanical Stochastic Resonance in a Macroscopic Torsion Oscillator
• Very large stochastic resonance gains in finite sets of interacting identical subsystems driven by subthreshold rectangular pulses
• Stochastic resonance in finite arrays of bistable elements with local coupling
• Two-state Markovian theory of input-output frequency and phase synchronization