Vibrational resonance in a noise-induced structure

Abstract

We report on the effect of vibrational resonance in a spatially extended system of coupled noisy oscillators under the action of two periodic forces, a low-frequency one (signal) and a high-frequency one (carrier). Vibrational resonance manifests itself in the fact that for optimally selected values of high-frequency force amplitude, the response of the system to a low-frequency signal is optimal. This phenomenon is a synthesis of two effects, a noise-induced phase transition leading to bistability, and a conventional vibrational resonance, resulting in the optimization of signal processing. Numerical simulations, which demonstrate this effect for an extended system, can be understood by means of a zero-dimensional "effective" model. The behavior of this "effective" model is also confirmed by an experimental realization of an electronic circuit.

Vibrational resonance in neuron populations

“…8 In the latter case, known as VR, the system is under the action of two frequency signal. [9][10][11] Such bichromatic signals are pervasive in many different fields, including brain dynamics, 12 where, for instance, bursting neurons may exhibit two widely different time scales.…”

Effects of additive noise on vibrational resonance in a bistable system

“…Originally described by Landa and McClintock [13], its study has been also addressed by other authors and, from different points of view, in excitable [14], spatially extended [15], and bistable systems [16,17]. In Ref.…”

Vibrational Resonance in the Classical Morse Oscillator Driven by Narrow-Band and Wide-Band Frequency Modulated Signals

“…Experimental evidence of the vibrational resonance has been demonstrated in analog simulations of the overdamped duffing oscillator [3], in an excitable electronic circuit with Chua's diode [4] and in a bistable optical cavity laser [5]. It has been thoroughly studied in a large class of dynamical systems such as a monostable system [6], a multi-stable system [1,2,7], time-delayed systems [8,9], spatially periodic system [10], smallworld networks [11,12], noise-induced structure [13], biological nonlinear maps [14,15] and coupled oscillators [16].…”