Multiple vibrational resonance and antiresonance in a coupled anharmonic oscillator under monochromatic excitation

Asir, M. Paul; Jeevarekha, A; Philominathan, P.

doi:10.1007/s12043-019-1802-7

Cited by 10 publications

(2 citation statements)

References 38 publications

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“…These sets of coupled equations have largely been studied over the years due to their ability to predict the so-called "resonances" and "anti-resonances." 77,78 The former simply correspond to the well-known ability of dynamical systems to produce oscillations of relatively high amplitude, not because a particularly chaotic state has been entered, but because the frequency of the forcing has become equal to one (there might be many depending on the number of DOFs) of the frequencies of natural oscillation of the considered system. Vice versa, the latter refers to the remarkable possibility to mitigate the oscillatory behavior induced by an external forcing by taking advantage of the intrinsic elastic response of the system itself.…”

Section: Appendix Amentioning

confidence: 99%

Multicellular states of viscoelastic thermovibrational convection in a square cavity

Boaro

Lappa

2021

Physics of Fluids

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The problem of pure thermovibrational flow in a two-dimensional square cavity containing a viscoelastic liquid is investigated in the framework of a numerical approach based on the governing balance equations for mass, momentum, and energy in their complete and non-linear time-dependent form. For problem closure, these equations are complemented with the transport equation for the elastic stress formulated using the finitely extensible nonlinear elastic Chilcott–Rallison (FENE–CR) constitutive model. A complete parametric study is carried out to highlight the different path of evolution taken by the considered viscoelastic fluid with respect to the corresponding Newtonian counterpart when the Gershuni number is increased. Attention is paid to the patterning scenario in terms of time-averaged flow and related multicellular structures. It is shown that the triadic relationship among the typical characteristic time scales involved in these phenomena, namely, the thermally diffusive time, the fluid relaxation time, and the period of vibrations, can lead to a kaleidoscope of states, which differ in regard to the prevailing symmetry and the related spatiotemporal behaviors. Moreover, the complex interaction between the external vibrations and the elastic property of the polymer molecules, mediated by viscous effects, can produce an interesting “intermittent response.”

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Section: Appendix Amentioning

confidence: 99%

Multicellular states of viscoelastic thermovibrational convection in a square cavity

Boaro

Lappa

2021

Physics of Fluids

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“…Experimental evidence of VR was demonstrated in analogue electric circuits modelling noise-induced structures [3], excitable systems [4], an overdamped bistable oscillator [5] and in a VCSEL [6] operating in the regime of polarization bistability for both nearly-symmetric and strongly asymmetric quasi-potentials. Later on, electric circuits were used to study different aspects of the manifestation of VR in the FitzHugh–Nagumo model [7–11], in a single Chua’s circuit and in a system of unidirectionally coupled n-Chua’s circuits [12], in an array of hard limiters [13] and in two coupled analogue oscillators [14], where multiple VR and vibrational antiresonance were observed. Along with observing and studying the phenomenon of VR in electric circuits [3–5,7–12] and in bistable [6,15–22] and multistable [23–25] VCSELs, the manifestation of VR was also demonstrated experimentally in a number of diverse systems, such as an optic lattice [26], mechanical systems [27,28] and a driven nano-electromechanical nonlinear resonator [29].…”

Section: Introductionmentioning

confidence: 99%

Amplification of optical signals in a bistable vertical-cavity surface-emitting laser by vibrational resonance

Chizhevsky

2021

Phil. Trans. R. Soc. A.

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The paper presents the results of the experimental study of an application of the phenomenon of vibrational resonance (VR) for enhancement of the response of a bistable vertical-cavity surface-emitting laser (VCSEL) to the effect of optical modulating signals. Specifically, two different cases were investigated: (a) the control of all-optical switching caused by a modulated orthogonal optical injection from another VCSEL and (b) the amplification of autodyne signals from a vibrating diffusely reflecting surface in the self-mixing optical interferometry. It is experimentally demonstrated that an application of the phenomenon of VR in both cases studied leads to a strong amplification of the input optical signals by a factor from 10 to 200 depending on the experimental conditions with respect to the initial values. The effect of the asymmetry of a bistable potential on the amplification factor was also studied. The results obtained can be used to improve all-optical switchings for application in communication systems and enhancement of autodyne signals in self-mixing optical interferometry. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 1)’.

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Effects of chaotic activity and time delay on signal transmission in FitzHugh-Nagumo neuronal system

Zhou

Wang

et al. 2021

Cogn Neurodyn

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Multiple vibrational resonance and antiresonance in a coupled anharmonic oscillator under monochromatic excitation

Cited by 10 publications

References 38 publications

Multicellular states of viscoelastic thermovibrational convection in a square cavity

Multicellular states of viscoelastic thermovibrational convection in a square cavity

Amplification of optical signals in a bistable vertical-cavity surface-emitting laser by vibrational resonance

Effects of chaotic activity and time delay on signal transmission in FitzHugh-Nagumo neuronal system

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