Linear and nonlinear experimental regimes of stochastic resonance

Abstract

We investigate the stochastic resonance phenomenon in a physical system based on a tunnel diode. The experimental control parameters are set to allow the control of the frequency and amplitude of the deterministic modulating signal over an interval of values spanning several orders of magnitude. We observe both a regime described by the linear response theory and the nonlinear deviation from it. In the nonlinear regime we detect saturation of the power spectral density of the output signal detected at the frequency of the modulating signal and a dip in the noise level of the same spectral density. When these effects are observed we detect a phase and frequency synchronization between the stochastic output and the deterministic input. 85.30.Mn

New analytical approach to analyze the nonlinear regime of stochastic resonance

“…Stochastic resonance (SR) manifests itself as an enhancement of the system response for certain finite values of the noise strength. In particular, the signal-to-noise ratio (SNR) shows a maximum as a function of the noise intensity [3]. A statistical synchronization of the random transitions between the two metastable states of the nonlinear system takes place in the presence of an external weak periodic force and noise.…”

“…Theoretical and experimental investigations have been mainly focused on the linear regime of SR, using two state approximation [5] and linear response theory [6]. However, for a complete description of the SR phenomenon it is also important to investigate the nonlinearresponse regime of SR. Few papers have analyzed the nonlinear regime of SR, experimentally [3] and theoretically [7]- [10]. In this regime, sometimes called weak-noise limit, the product of the amplitude of the periodic signal times the maximum value of the output signal is not much less than the noise intensity and the linear-response theory or the perturbation theory is no longer valid.…”

“…In this regime, sometimes called weak-noise limit, the product of the amplitude of the periodic signal times the maximum value of the output signal is not much less than the noise intensity and the linear-response theory or the perturbation theory is no longer valid. Moreover, many peculiar behaviors appear in the nonlinear regime of SR [3], [7].…”

The Bistable Potential: An Archetype for Classical and Quantum Systems

“…The alternating coexistence/exclusion regime can be modulated by the specific Lévy noise source ξ α,β γ (t) with µ = 0, varying both the intensity D γ and the parameters α and β. The synchronization effect observed in the presence of a suitable intensity of Gaussian noise is a well-known effect, named stochastic resonance (SR), 35,36 and could affect considerably the dynamics of real ecosystems. One signature of the SR phenomenon is the presence of a maximum in the signal power amplification (SPA) η as a function of the noise intensity.…”

Theory of stochastic resonance for small signals in weakly damped bistable oscillators

“…SR was observed in bistable electronic circuits [11][12][13], in a ring-laser [14], and then in numerous other systems in both the physical and biological sciences; new applications are frequently reported. Recently a phenomenon similar to stochastic resonance was discovered experimentally in acoustically-excited, turbulent, submerged jets [15], where the role of noise is played by turbulence.…”