Ghost-vibrational resonance

Abstract

Ghost-stochastic resonance is a noise-induced resonance at a fundamental frequency missing in the input signal. We investigate the effect of a highfrequency, instead of a noise, in a single Duffing oscillator driven by a multifrequency signalwhere k is an integer greater than or equal to two. We show the occurrence of a high-frequency induced resonance at the missing fundamental frequency ω 0 . For the case of the two-frequency input signal, we obtain an analytical expression for the amplitude of the periodic component with the missing frequency. We present the influence of the number of forces n, the parameter k, the frequency ω 0 and the frequency shift ∆ω 0 on the response amplitude at the frequency ω 0 . We also investigate the signal propagation in a network of unidirectionally coupled Duffing oscillators. Finally, we show the enhanced signal propagation in the coupled oscillators in absence of a high-frequency periodic force.

Vibrational higher-order resonances in an overdamped bistable system with biharmonic excitation

“…Improvement of a detection of weak periodic and aperiodic binary signals by VR has been experimentally demonstrated as well [9,10]. Until now almost all theoretical, numerical, and experimental investigations of VR in bistable systems were focused on the response on the first harmonic of the LF signal except recent theoretical studies of nonlinear VR [11] and ghost-vibrational resonance [12]. In the first case the phenomenon of VR on the second harmonic of the LF signal in bistable systems with the symmetric double-well potential was theoretically investigated [11].…”

“…In the first case the phenomenon of VR on the second harmonic of the LF signal in bistable systems with the symmetric double-well potential was theoretically investigated [11]. The response on subharmonic frequencies in an underdamped bistable oscillator with a multifrequency excitation was theoretically studied in the second case [12].…”

Vibrational resonance in an inhomogeneous medium with periodic dissipation

“…In stochastic resonance [28], for example, the parameter in question is the noise intensity and only in special cases [29] is there also any matching of frequencies. In fact, many different kinds of external forces can induce resonances and the latter can manifest in a diversity of different forms, such as chaotic resonance [30,31], coherence resonance [32,33], parametric resonance [27], stochastic resonance [28,34], ghost resonance [35], vibrational resonance [36], autoresonance [27] and anti-resonance [37].…”

Vibrational resonance in a harmonically trapped potential system

“…The forced resonance (resonance induced by an additive external periodic force) [1][2][3][4] and parametric resonance [4,5] occur in both linear and nonlinear systems. The stochastic resonance [6,7] , coherence resonance [8,9] , auto resonance [10,11] , ghost resonance [12][13][14] , chaos resonance [15] and vibrational resonance [4,[16][17][18][19][20] can be realized only in nonlinear systems. The present paper is concerned with vibrational resonance.…”