Coexistence of Multiple Attractors, Hysteresis, and Vibrational Resonance in the Classical Morse Oscillator Driven by an Amplitude Modulated Signa

Guruparan, S.; Ravichandran, V.; Chinnathambi, V.; Rajasekar, S.

doi:10.15407/ujpe62.01.0051

Cited by 2 publications

(3 citation statements)

References 31 publications

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“…In what follows, we will focus on a form of vibrational resonance (VR). In systems with linear damping, VR has already been widely investigated [38][39][40][41][42][43][44][45] following an early study by Landa and McClintock [36]. The results have shed light on the contributions to the effective potential of the various components of the high frequency signal [27], as well as the roles played by system parameters such as delay and fractional order terms in the induction, enhancement and control of VR [46][47][48][48][49][50][51].…”

Section: Introductionmentioning

confidence: 99%

Vibrational resonance in an inhomogeneous medium with periodic dissipation

et al. 2017

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The role of nonlinear dissipation in vibrational resonance (VR) is investigated in an inhomogeneous system characterized by a symmetric and spatially periodic potential and subjected to nonuniform state-dependent damping and a biharmonic driving force. The contributions of the parameters of the high-frequency signal to the system's effective dissipation are examined theoretically in comparison to linearly damped systems, for which the parameter of interest is the effective stiffness in the equation of slow vibration. We show that the VR effect can be enhanced by varying the nonlinear dissipation parameters and that it can be induced by a parameter that is shared by the damping inhomogeneity and the system potential. Furthermore, we have apparently identified the origin of the nonlinear-dissipation-enhanced response: We provide evidence of its connection to a Hopf bifurcation, accompanied by monotonic attractor enlargement in the VR regime.

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Section: Introductionmentioning

confidence: 99%

Vibrational resonance in an inhomogeneous medium with periodic dissipation

et al. 2017

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“…Various types of resonance can be realized in nonlinear systems such as the stochastic resonance [1,2], coherence resonance [3,4], auto resonance [5,6], ghost resonance [7][8][9], chaos resonance [10,11], parametric resonance [12,13] and vibrational resonance [14][15][16][17][18]. The present paper is concerned with vibrational resonance.…”

Section: Introductionmentioning

confidence: 99%

“…Then we analyze VR by the frequency-modulated force F FM (t) = f sin(ωt + g cos Ωt) which can also be written as F FM (t) = f sin ωt cos(g cos Ωt) + f sin(g cos Ωt) cos ωt. Certain notable earlier studies on nonlinear systems are subjected to modulated signals with and without the restriction of Ω ≫ ω [18,[28][29][30][31][32]. There are some interesting VR features in the harmonically trapped system driven by modulated signals (F AM (t) or F FM (t)) compared to the case when it is driven by the force F 1 (t) = f sin ωt +g sin Ωt.…”

Section: Introductionmentioning

confidence: 99%

Effect of Modulated Signals on Vibrational Resonance in a Harmonically Trapped Potential System

Bhuvaneshwari¹,

Priyatharsini²,

Chinnathambi³

et al. 2021

J. Sci. Res.

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We consider a harmonically trapped potential system driven by modulated signals with two widely different frequencies ω and Ω, where Ω >> ω. The forms of modulated signals are amplitude modulated (AM) and frequency-modulated (FM) signals. An amplitude-modulated external signal is consisting of a low-frequency (ω) component and two high-frequencies (Ω + ω) and (Ω − ω) whereas the frequency modulated signal consisting of the frequency components such as f sinωt cos(g cosΩt) and f sin(g cosΩt) cosωt. Depending upon the values of the parameters in the potential function, an odd number of potential wells of different depths can be generated. We numerically investigate the effect of these modulated signals on vibrational resonance (VR) in single-well, three-well, five-well and seven-well potentials. Different from traditional VR theory in the present paper, the enhancement of VR is made by the amplitudes of the AM and FM signals. We show the enhanced response amplitude (Q) at the low-frequency ω, showing the greater number of resonance peaks and non-decay response amplitude on the response amplitude curve due to the modulated signals in all the potential wells. Furthermore, the response amplitude of the system driven by the AM signal exhibits hysteresis and a jump phenomenon. Such behavior of Q is not observed in the system driven by the FM signal.

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Coexistence of Multiple Attractors, Hysteresis, and Vibrational Resonance in the Classical Morse Oscillator Driven by an Amplitude Modulated Signa

Cited by 2 publications

References 31 publications

Vibrational resonance in an inhomogeneous medium with periodic dissipation

Vibrational resonance in an inhomogeneous medium with periodic dissipation

Effect of Modulated Signals on Vibrational Resonance in a Harmonically Trapped Potential System

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